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Paper Citation Record · LEDGER

The complete classification of empty lattice $4$-simplices

As of 16 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:1908.08933.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.08933 v3

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:31:18.004834Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:54:35.494658Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-14T12:54:35.600935Z

Reference resolution

41 of 41 outbound references displayed

  • verified exact2
  • verified fuzzy22
  • unresolved17
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5c38de69-fc80-48ed-80c0-41825835eefe · outbound

This paper cites an unresolved cited work.

The complete classification of empty lattice $4$-simplices Unresolved cited work

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.815179Z digest=sha256:f2686814e79de67e283e0ea6d2ee33140831b33fb92dec8773d1295d0a913676

Observation 1b620002-0ffc-4195-ae73-acacd7206e55 · outbound

This paper cites Algebra Geom.

The complete classification of empty lattice $4$-simplices Algebra Geom

Reference 2

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.820469Z digest=sha256:7d2f790e578c8c2886e24ca6d019afa8698359bbb4cd30f1bc6881716df7bece

Observation d4ba4ba8-d970-44f4-b67c-6c766ccbe434 · outbound

This paper cites an unresolved cited work.

The complete classification of empty lattice $4$-simplices Unresolved cited work

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 689fa490-720a-469a-b41e-2d3c45518de3 · outbound

This paper cites an unresolved cited work.

The complete classification of empty lattice $4$-simplices Unresolved cited work

Reference 4

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 41c6b940-c114-4cc0-9430-93c669664a10 · outbound

This paper cites an unresolved cited work.

The complete classification of empty lattice $4$-simplices Unresolved cited work

Reference 5

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.835151Z digest=sha256:6424cea14bddfc0d0e70f7d05674dfc1ee3ec59c3bf101cd3fd92ae3354d4105

Observation 0a251482-0b81-49be-b9c3-b8cd17e0cef5 · outbound

This paper cites an unresolved cited work.

The complete classification of empty lattice $4$-simplices Unresolved cited work

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.840065Z digest=sha256:58314a1d6ddbcda26c5bd94542ee8ecf85e22dc6f380d830ab1ac299e849b66c

Observation d63bfbd9-5011-49e7-ad44-658bf3acaf3a · outbound

This paper cites Bober, Factorial ratios, hypergeometric series, and a family of step functions, J.

The complete classification of empty lattice $4$-simplices Bober, Factorial ratios, hypergeometric series, and a family of step functions, J

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.845153Z digest=sha256:ad96982236cf107732dba2b4c15650b2e9ed61a5b390e76bbab5a45e024a370f

Observation ada6eb1f-2af2-4b49-9717-3b723ed73e14 · outbound

This paper cites an unresolved cited work.

The complete classification of empty lattice $4$-simplices Unresolved cited work

Reference 8

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.850119Z digest=sha256:3372e10af4acd570bf8f84b7b4e19794310887c24a43a85ed5e7b0d4c0626634

Observation 7411a9a4-9cbb-40ef-925b-35194be1d708 · outbound

This paper cites an unresolved cited work.

The complete classification of empty lattice $4$-simplices Unresolved cited work

Reference 9

Resolution
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raw_fallback, observed 2026-08-14T11:31:18.524340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.854616Z digest=sha256:fddb399feaea2a632315a306b29a4f1ac3d794fb0ab0a21e2d02d02baea123df

Observation e66d894a-3f5f-4e47-a1e7-cf833648f851 · outbound

This paper cites Litvak, Alain Pajor, Stanislaw J.

The complete classification of empty lattice $4$-simplices Litvak, Alain Pajor, Stanislaw J

Reference 10

Resolution
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raw_fallback, observed 2026-08-14T11:31:18.509540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.859746Z digest=sha256:f5a03ae006f4b4c84375836bfe664af1c28bccbd7262ea0461931fb5d893e436

Observation 6c445442-d957-48cc-8747-e00c91918045 · outbound

This paper cites Integer-point enumeration in polyhedra, Undergraduate Texts in Mathematics, Springer, New York, 2015.

The complete classification of empty lattice $4$-simplices Integer-point enumeration in polyhedra, Undergraduate Texts in Mathematics, Springer, New York, 2015

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.864691Z digest=sha256:ca52e6d8d6c37155bae93a0b5f089cd04a22e04d6e268d44e16322e38767ad7a

Observation a6d7308c-244e-4903-b949-3a8bf84b0ef2 · outbound

This paper cites Discrete Math.

The complete classification of empty lattice $4$-simplices Discrete Math

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.869569Z digest=sha256:89db5f965ffcf5ef76d03437b0324a560f4c8fd33dbd45edcdeb6f5f4b703dec

Observation 8f1f605a-edcd-4f2e-8885-323ff827befc · outbound

This paper cites Unimodular covers of 3-dimensional parallelepipeds and Cayley sums.

The complete classification of empty lattice $4$-simplices Unimodular covers of 3-dimensional parallelepipeds and Cayley sums

Reference 13

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.874008Z digest=sha256:80575bd2290cd4655fba2835cda4bfa35ec1338e07836d6ee3f631e87c8f9318

Observation 7613a682-3db5-446a-8551-704b48947dfb · outbound

This paper cites an unresolved cited work.

The complete classification of empty lattice $4$-simplices Unresolved cited work

Reference 14

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.879099Z digest=sha256:e37fc5197ffab4dfe4d3996004169782d5b68ce3ed4ec45e4d5af158cdaaea2b

Observation 9cab5a9f-9f89-4be4-a33c-e5b35132ffe1 · outbound

This paper cites Dais, Resolving 3-dimensional toric singularities, Geometry of toric varieties, S\' e min.

The complete classification of empty lattice $4$-simplices Dais, Resolving 3-dimensional toric singularities, Geometry of toric varieties, S\' e min

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.883793Z digest=sha256:130bdfed458dee6c695652572fca6ffc930cea3ff6407f9f494f9ac3e586ee6c

Observation 5d7fd5ad-ca54-4ef9-ac31-81a89dea8c12 · outbound

This paper cites an unresolved cited work.

The complete classification of empty lattice $4$-simplices Unresolved cited work

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.888258Z digest=sha256:4d3dfd55da653ab423fac59cfb75d4d1d1af2c2b8afa83d390a584336366e025

Observation 1e8c1099-5c99-46ea-bca7-435882020b39 · outbound

This paper cites On a generalization of the Hermite-Hadamard inequality and applications in convex geometry.

The complete classification of empty lattice $4$-simplices On a generalization of the Hermite-Hadamard inequality and applications in convex geometry

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:31:18.049461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.892710Z digest=sha256:78d69ec3a3a4e67318d99c07d7aa2ab03717b050060535f05b8911300470719f

Observation a1aefd19-6af7-4669-a14e-32e988dfc1b8 · outbound

This paper cites Gruber, Convex and discrete geometry, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol.

The complete classification of empty lattice $4$-simplices Gruber, Convex and discrete geometry, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.897781Z digest=sha256:640691932a4bab6bf6f2ef3da595238c24df7fd5a4a6e52d25ee2c7a3197828b

Observation f8989a39-9d36-482e-bbd5-468d39e543cf · outbound

This paper cites 83 (1990), no.

The complete classification of empty lattice $4$-simplices 83 (1990), no

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ed7faaf9-eece-4943-8969-41b970232496 · outbound

This paper cites an unresolved cited work.

The complete classification of empty lattice $4$-simplices Unresolved cited work

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3dc036b7-a18f-4d89-bfd7-9ebae822c19a · outbound

This paper cites an unresolved cited work.

The complete classification of empty lattice $4$-simplices Unresolved cited work

Reference 21

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.912893Z digest=sha256:5086b04573b6b874a8d2c023b8a6f97ba94c67c9c172a1b0dfeb4262b215bb01

Observation f87fc943-718d-4e97-9a22-aec60ce00281 · outbound

This paper cites an unresolved cited work.

The complete classification of empty lattice $4$-simplices Unresolved cited work

Reference 22

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.917405Z digest=sha256:3c667ac75ea540d811cb74fbe1475686bede750bfa7d756f7c7fb78b362ac619

Observation a0c05262-3edc-4020-bfa6-9b5ff2213171 · outbound

This paper cites Ziegler , On the maximal width of empty lattice simplices.

The complete classification of empty lattice $4$-simplices Ziegler , On the maximal width of empty lattice simplices

Reference 23

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9f38fad0-a2ed-4251-a1e4-0b1790e5af64 · outbound

This paper cites an unresolved cited work.

The complete classification of empty lattice $4$-simplices Unresolved cited work

Reference 24

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation d7b0985b-a985-4b5e-bb5e-0a8a20f825e5 · outbound

This paper cites an unresolved cited work.

The complete classification of empty lattice $4$-simplices Unresolved cited work

Reference 25

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 50cd79a8-9cb2-432b-8e10-1c74bb323d69 · outbound

This paper cites Discrete Math.

The complete classification of empty lattice $4$-simplices Discrete Math

Reference 26

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 84b00efa-46fb-46e5-a47f-88da03e4e0a4 · outbound

This paper cites an unresolved cited work.

The complete classification of empty lattice $4$-simplices Unresolved cited work

Reference 27

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6626bf27-61a6-4ba7-8755-3676b3fee9b1 · outbound

This paper cites J., 98 (1985), 43--66.

The complete classification of empty lattice $4$-simplices J., 98 (1985), 43--66

Reference 28

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.944838Z digest=sha256:a8339a253151ab999bddad95412c2637e00c81bb8ab6bc7fb55c8108b06bec9a

Observation 4e01088f-141e-4a82-989a-341b6a08d541 · outbound

This paper cites an unresolved cited work.

The complete classification of empty lattice $4$-simplices Unresolved cited work

Reference 29

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.949445Z digest=sha256:0a4b3389932be081dbff76b74b193f04c905f21a1beaf325c11af7200ab96e3a

Observation 0f465c8b-e8f9-4592-ba9c-2530a049cb62 · outbound

This paper cites Morrison, and Ian Morrison, On four-dimensional terminal quotient singularities, Math.

The complete classification of empty lattice $4$-simplices Morrison, and Ian Morrison, On four-dimensional terminal quotient singularities, Math

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:18.252247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.954056Z digest=sha256:393ac6c6d9271a312df2a3c299725bb4df19614650423034bef311c88c6cd7ce

Observation 5c92ea6a-181e-4b40-8689-791118364bbb · outbound

This paper cites Morrison and Glenn Stevens, Terminal quotient singularities in dimensions three and four, Proc.

The complete classification of empty lattice $4$-simplices Morrison and Glenn Stevens, Terminal quotient singularities in dimensions three and four, Proc

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:18.237838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.958538Z digest=sha256:a7777ee5055e403aac142fa4246ba4d77ebda1b1b495516e899b164f17938ff8

Observation d1b04dec-0b57-4329-b88f-6327b27a2c6b · outbound

This paper cites Ziegler , Projecting lattice polytopes without interior lattice points., Math.

The complete classification of empty lattice $4$-simplices Ziegler , Projecting lattice polytopes without interior lattice points., Math

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:18.222910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.963172Z digest=sha256:0f40181dd7dddb8088c8f3ec29f17a0ba20a2da2615ea8d005e3887d7cbd3318

Observation 6d65c99c-d891-4fcb-bb87-0ef3ac6fe063 · outbound

This paper cites Sankaran, Stable quintiples and terminal quotient singularities, Math.

The complete classification of empty lattice $4$-simplices Sankaran, Stable quintiples and terminal quotient singularities, Math

Reference 33

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.967509Z digest=sha256:0c64ba5a2340fd9297c8396fc3d32d87da7f1c8f8204df037f2a1174a1b16ca4

Observation 8ace432d-f498-4d72-b83f-1d8032133f0c · outbound

This paper cites Symbolic Comput.

The complete classification of empty lattice $4$-simplices Symbolic Comput

Reference 34

Resolution
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raw_fallback, observed 2026-08-14T11:31:18.192799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.972048Z digest=sha256:59ce9e47ccf42637e688ae4549ddad90613fcdf672c75e78d87acc0a6432d5e1

Observation e39a3487-57be-4a74-a931-56ab08cf0a5d · outbound

This paper cites Scott, On convex lattice polygons, Bull.

The complete classification of empty lattice $4$-simplices Scott, On convex lattice polygons, Bull

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:18.178607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.976632Z digest=sha256:6acd2805cf8a9a2403444972683cb7ff209107bb700e7e19f915ec5a39710532

Observation 2242a2b7-ad1a-4ef1-b656-2bf1b690fb24 · outbound

This paper cites Sci., vol.

The complete classification of empty lattice $4$-simplices Sci., vol

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:18.164142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.981478Z digest=sha256:646feef5f4b0d67cc01e513d0fcc4d53807e6d7b8ca20f67c5e4fabad313ffbd

Observation b2f67bcc-6956-4bed-adec-4e15c42674da · outbound

This paper cites Stanley, Decompositions of rational convex polytopes, Ann.

The complete classification of empty lattice $4$-simplices Stanley, Decompositions of rational convex polytopes, Ann

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:18.148926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.985995Z digest=sha256:62b446a8c65b21bacecc1e788c220fdf867000cc637bc20ce2c11299529cdd51

Observation daa769ea-bc7d-4151-92f8-bbb472bca7d7 · outbound

This paper cites an unresolved cited work.

The complete classification of empty lattice $4$-simplices Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:31:18.133134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.990640Z digest=sha256:e4c4aeddf6cbecaeb919cc1149fcefe1e3e03058241c54e23c22cbd2d92582f4

Observation 6136c0e6-5e9e-487d-8474-e6df2b80a531 · outbound

This paper cites Santos and G\"unter.

The complete classification of empty lattice $4$-simplices Santos and G\"unter

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:18.116997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:17.995156Z digest=sha256:dca132266e254b8fcaeae6ab18040b52924c9d05cb65116ddb78c7ee214f7bc7

Observation cb8804e0-4413-4206-ba45-bdda1a974e75 · outbound

This paper cites atze von White und Mordell \.

The complete classification of empty lattice $4$-simplices atze von White und Mordell \

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:18.101523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:18.000118Z digest=sha256:3a3d528a982f5486655eea46ccd469387b85364d314d6aebb075ce5c0e4a5378

Observation 1ecc7d4e-4fd8-4ccc-853a-bb4df5546961 · outbound

This paper cites White, Lattice tetrahedra, Canadian J.

The complete classification of empty lattice $4$-simplices White, Lattice tetrahedra, Canadian J

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:18.086204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:31:18.004834Z digest=sha256:28768e0a62ed3adbc93e1a7b1481d68b7e4c05bb2ed5931c13164d8f4162144e

Pith citing papers

Observation 2f427b0b-b5df-46f0-9b99-5e98c8bbe8c4 · inbound

On a generalization of the Hermite-Hadamard inequality and applications in convex geometry cites this paper.

On a generalization of the Hermite-Hadamard inequality and applications in convex geometry The complete classification of empty lattice $4$-simplices

Reference 16

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T12:54:35.610052Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:54:35.494658Z digest=sha256:d30efb3e99cf1dfbc8707c3940905b01f66d965f1306cb095e19c1dd4b5f7c03