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Paper Citation Record · LEDGER

Complementary bodies in sphere packing

As of 20 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2508.11633.

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

pith.paper-citation-record.v1
2508.11633 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:52:56.564050Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy15
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9ba6524c-e177-4924-834b-5410134ad16d · outbound

This paper cites an unresolved cited work.

Complementary bodies in sphere packing Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:52:56.796868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation d5199ba2-173b-41bd-9acf-b0c7bd660f36 · outbound

This paper cites an unresolved cited work.

Complementary bodies in sphere packing Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:52:56.786263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:52:56.501016Z digest=sha256:981d3f24c20b5a2497ae3a558bb0d75cda07ce46d39095583ce58befbd30ea6e

Observation 56c39a68-716b-4562-88c9-2e9078ae7d4a · outbound

This paper cites However, their empirical treatment lacks the formal precision required for modern applications in porous material modelling.

Complementary bodies in sphere packing However, their empirical treatment lacks the formal precision required for modern applications in porous material modelling

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:52:56.775510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 782922fe-a8ef-40c0-bffa-0c0bf35ac4d9 · outbound

This paper cites C.; Fraser, H.

Complementary bodies in sphere packing C.; Fraser, H

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:52:56.764310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:52:56.508788Z digest=sha256:8e60c082eddb79766b04896e089b3917bd5edc810a1d7af136b7f3af319cd334

Observation 04101b61-c958-49da-b313-4eadeb187765 · outbound

This paper cites W.; Baerends, E.

Complementary bodies in sphere packing W.; Baerends, E

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:52:56.753923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:52:56.512666Z digest=sha256:9c55706acc0483bdc5d0f2ed67e48b6edc74992e1784c545ce8373ef72b093af

Observation 1b7defea-2748-4e8a-a8f3-2d75bc8aa802 · outbound

This paper cites T.; Coy, A.; MacGowan, D.; Packer, K.

Complementary bodies in sphere packing T.; Coy, A.; MacGowan, D.; Packer, K

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:52:56.743413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:52:56.516569Z digest=sha256:9dcdc4472f89a4776b1afc68774217153e0d67bea8c753a2116f18de1d230706

Observation 374da699-88ed-46c5-85ce-a357cca50010 · outbound

This paper cites J.; Eykyn, T.

Complementary bodies in sphere packing J.; Eykyn, T

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:52:56.732068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:52:56.520563Z digest=sha256:1ba6da2df06720a7da009f95b5182c4600266a11e7c1e276c0d1374c3c81e010

Observation 7f3485f4-d5d3-460e-9e4f-7918d152813c · outbound

This paper cites an unresolved cited work.

Complementary bodies in sphere packing Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:52:56.720809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:52:56.524284Z digest=sha256:8887470c94c85ca40ca618a038bbb4e5ffd50e24a86a28d087e7a5b89a6efbcc

Observation 08c8909c-a545-46fa-952e-dbf45007772a · outbound

This paper cites The Formal Proof of the Kepler Conjecture: a critical retrospective.

Complementary bodies in sphere packing The Formal Proof of the Kepler Conjecture: a critical retrospective

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-15T19:52:56.527934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:52:56.527934Z digest=sha256:46060347cd1b580d4a750e22eab2f09445131ca3834c12e098a548352469f3c9

Observation e662d07d-2da0-4dbd-8b29-80e4d92e1cbe · outbound

This paper cites T.: Translational Dynamics & Magnetic Resonance: Principles of Pulsed Gradient Spin Echo NMR.

Complementary bodies in sphere packing T.: Translational Dynamics & Magnetic Resonance: Principles of Pulsed Gradient Spin Echo NMR

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:52:56.710145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:52:56.532159Z digest=sha256:3380db8b5c5bfac33e7a4c42726e45a15064d57995b2e0f7f69c8b2795a6752d

Observation e210107e-ce4a-4ec6-99f9-53c103336d30 · outbound

This paper cites diffusive-diffraction.

Complementary bodies in sphere packing diffusive-diffraction

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:52:56.698718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:52:56.536376Z digest=sha256:3fc751af414410934a294b075159983613c7cd0a77c2f2a78f72043efc12c206

Observation 42213249-b54a-42bd-9ffd-0a727fd1f96d · outbound

This paper cites S.: NMR Studies of Translational Motion: Principles and Applications.

Complementary bodies in sphere packing S.: NMR Studies of Translational Motion: Principles and Applications

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:52:56.687966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:52:56.539770Z digest=sha256:79522e52536e86dd8c326942b31ce200602ae7469890cc163cb8f14c91f0da11

Observation f4ed2055-8133-4c67-a0a6-0d1fdc601d61 · outbound

This paper cites J.; Kuchel, P.

Complementary bodies in sphere packing J.; Kuchel, P

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:52:56.676679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:52:56.542965Z digest=sha256:c167ea595a8c9dbdfd8ebd94e5d2f7cec4bb07b192ee5f98e2cf1e08e4ff080d

Observation ca9e415e-f61e-4fb5-b8b4-007c15335d20 · outbound

This paper cites diffraction-like.

Complementary bodies in sphere packing diffraction-like

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:52:56.665326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:52:56.546340Z digest=sha256:0e4ac573957ca16f93e1317b5e37da5ec5e9bdd47995b34d421db8e44e956e07

Observation 18b88fe9-87df-40eb-bb29-aa143fa6e330 · outbound

This paper cites W.; Lennon, A.

Complementary bodies in sphere packing W.; Lennon, A

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:52:56.652869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:52:56.549737Z digest=sha256:8018792b7a3ca8ba9f5b077b5c89bf0c88c86c8aac047e1e9ac18f15d5741003

Observation 6021addd-a207-47ee-bce3-b7db3d488041 · outbound

This paper cites V ersion 14.0.0.

Complementary bodies in sphere packing V ersion 14.0.0

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:52:56.641709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:52:56.553181Z digest=sha256:399784574a778031229096dd904075c4f9be6e64b7b67968f3f7e55ea9f3bdc0

Observation d83d3d14-b29f-4c1e-90d9-8965e222b34e · outbound

This paper cites W.: 10n� + 2 revealed.

Complementary bodies in sphere packing W.: 10n� + 2 revealed

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:52:56.631186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:52:56.556858Z digest=sha256:144daac5d9a623f7ddbe23834ddf345fc434a0d2d7422cadc587d499f18c3694

Observation ac2f3588-c056-438e-b05b-752d18262498 · outbound

This paper cites R.: Mathematical Handbook of Formulas and Tables.

Complementary bodies in sphere packing R.: Mathematical Handbook of Formulas and Tables

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:52:56.620245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 3e5262aa-8992-415a-b936-d870b45af702 · outbound

This paper cites H.; Jiao, Y.; Torquato, S.: New family of tilings of three-dimensional Euclidean space by tetrahedra and octahedra.

Complementary bodies in sphere packing H.; Jiao, Y.; Torquato, S.: New family of tilings of three-dimensional Euclidean space by tetrahedra and octahedra

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:52:56.608028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Pith citing papers

No inbound Pith citation observations are available.