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Paper Citation Record · LEDGER

Ternary relations and their polytopes

As of 20 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2509.06811.

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

pith.paper-citation-record.v1
2509.06811 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T23:15:12.232868Z

measured 22 of 22 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

22 of 22 outbound references displayed

  • verified exact2
  • verified fuzzy11
  • unresolved9
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6ff5cd21-e46d-4445-8b70-2d61d738d838 · outbound

This paper cites an unresolved cited work.

Ternary relations and their polytopes Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:15:15.125298Z

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 a62d488a-5648-4823-bcec-ad699885496e · outbound

This paper cites Cosmological Polytopes and the Wavefunction of the Universe.

Ternary relations and their polytopes Cosmological Polytopes and the Wavefunction of the Universe

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-04T23:15:10.760765Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation b597e7e4-a944-420e-8609-0b1323a09b36 · outbound

This paper cites Progress on homogeneous Einstein manifolds and some open probrems.

Ternary relations and their polytopes Progress on homogeneous Einstein manifolds and some open probrems

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-04T23:15:12.607758Z

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 9de2b574-5827-4c22-962d-d1fead2347d2 · outbound

This paper cites Arvanitoyeorgos, New invariant Einstein metrics on generalized flag manifolds, Trans.

Ternary relations and their polytopes Arvanitoyeorgos, New invariant Einstein metrics on generalized flag manifolds, Trans

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:15:15.109923Z

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 614581da-a9af-4bcb-906b-b30a20726980 · outbound

This paper cites Avis, On the extreme rays of the metic cone, Can.

Ternary relations and their polytopes Avis, On the extreme rays of the metic cone, Can

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:15:15.056032Z

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 aa5f8658-f77d-4b83-acbd-4b9f19b74686 · outbound

This paper cites Avis, Mutt, All the Facets of the Six-point Hamming Cone, European Journal of Com- binatorics, Vol.

Ternary relations and their polytopes Avis, Mutt, All the Facets of the Six-point Hamming Cone, European Journal of Com- binatorics, Vol

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

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

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Observation f7a8be3d-dce4-4954-9b4e-c00c66986e37 · outbound

This paper cites Bandelt, A.

Ternary relations and their polytopes Bandelt, A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:15:14.598729Z

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 49bbe220-d7ea-4179-9559-4271b94ecce2 · outbound

This paper cites Belgun, V.

Ternary relations and their polytopes Belgun, V

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:15:14.429283Z

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 04d13968-bac6-433b-8f6f-abdac46ffcbf · outbound

This paper cites Benincasa, Amplitudes meet cosmology: a (scalar) primer, Internat.

Ternary relations and their polytopes Benincasa, Amplitudes meet cosmology: a (scalar) primer, Internat

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:15:14.213153Z

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 69e7254e-7acd-4684-a291-615949fe0404 · outbound

This paper cites an unresolved cited work.

Ternary relations and their polytopes Unresolved cited work

Reference 10

Resolution
unresolved
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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 225fc19c-e737-42ae-a0d2-6784e9cdcc05 · outbound

This paper cites an unresolved cited work.

Ternary relations and their polytopes Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:15:13.958921Z

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 3ddca903-bb4d-4521-9121-1a4cbeb1ea9d · outbound

This paper cites Ehrhart theory of cosmological polytopes.

Ternary relations and their polytopes Ehrhart theory of cosmological polytopes

Reference 12

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 99cd9d4c-d407-49a8-b9b8-9350f19bb0c0 · outbound

This paper cites an unresolved cited work.

Ternary relations and their polytopes Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:15:13.837131Z

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 59c5d341-c0a7-43f1-a059-9d4855703bb0 · outbound

This paper cites Dress, V.

Ternary relations and their polytopes Dress, V

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

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

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Observation 265b1565-176e-4e60-8e59-63efead07f9b · outbound

This paper cites an unresolved cited work.

Ternary relations and their polytopes Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:15:13.596864Z

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 2d211e94-0f12-4e82-810c-0bcf236c55cb · outbound

This paper cites an unresolved cited work.

Ternary relations and their polytopes Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:15:13.449764Z

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 39846909-c519-4007-92d5-1c33903a1d86 · outbound

This paper cites an unresolved cited work.

Ternary relations and their polytopes Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:15:13.310978Z

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 61d1f83d-2de6-4b12-9bce-01bb9e3af3ec · outbound

This paper cites Grishukhin, Computing extreme rays of the metric cone for seven points, European Journal of Combinatorics, Vol.

Ternary relations and their polytopes Grishukhin, Computing extreme rays of the metric cone for seven points, European Journal of Combinatorics, Vol

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:15:13.171150Z

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 c8303439-22bd-4467-a76f-04f0d091ba06 · outbound

This paper cites Triangulations of cosmological polytopes.

Ternary relations and their polytopes Triangulations of cosmological polytopes

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-04T23:15:12.454966Z

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 a43863d2-3ac9-4ab2-9807-2918ad4815cb · outbound

This paper cites Kühne, L.

Ternary relations and their polytopes Kühne, L

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:15:13.021691Z

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 5fe8b6cd-1358-46db-ba7b-6380772f22ed · outbound

This paper cites Stanley, f-vectors and h-vectors of simplicial posets, Journal of Pure and Applied Algebra, Vol.

Ternary relations and their polytopes Stanley, f-vectors and h-vectors of simplicial posets, Journal of Pure and Applied Algebra, Vol

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:15:12.902673Z

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 d423decc-9f7b-4306-bcaf-5a3e2a0f2f02 · outbound

This paper cites Stanley, Enumerative Combinatorics, Vol.

Ternary relations and their polytopes Stanley, Enumerative Combinatorics, Vol

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:15:12.757963Z

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.