Paper Citation Record · LEDGER

Modal Geometry Governs Proteoform Dynamics

As of 11 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2508.20004.

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

pith.paper-citation-record.v1
2508.20004 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T15:20:44.816165Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

37 of 37 outbound references displayed

verified exact5
verified fuzzy11
unresolved18
parse uncertain0
malformed identifier2
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6387ea4d-70de-4261-8e08-0a321c8bcb49 · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-05T15:20:44.524546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbdaa1af-54a4-4928-b091-dde211d20dee · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:20:46.410052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d4af04f7-ddea-48fa-bccb-d87ef84dc4f1 · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:20:46.388399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0e013133-7042-4b59-8825-effea106e372 · outbound

This paper cites & Coorssen, J.

Modal Geometry Governs Proteoform Dynamics & Coorssen, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:20:46.360543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 60c6e742-c1c2-415a-b576-a0e5020d0c3d · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:20:46.327933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3bc3024a-0745-46e7-9d13-e5a162767007 · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:20:46.280699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a9af4596-7005-4bfd-8d58-40f3764b161a · outbound

This paper cites N., Chatzinikolaou, P.

Modal Geometry Governs Proteoform Dynamics N., Chatzinikolaou, P

Reference 7

Resolution: metadata mismatch; raw_fallback, observed 2026-08-05T15:20:45.524938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bad1de72-8321-462e-b961-6c1f0c253302 · outbound

This paper cites Statistical Mechanics.

Modal Geometry Governs Proteoform Dynamics Statistical Mechanics

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:20:46.241368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation eb5030ad-c96f-40dd-ae34-0af765099cca · outbound

This paper cites Die Grundlage der allgemeinen Relativitätstheorie.

Modal Geometry Governs Proteoform Dynamics Die Grundlage der allgemeinen Relativitätstheorie

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:20:46.207951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation cb934deb-27ab-4e6a-8bed-03adb44340af · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:20:46.146579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b9675c46-07b9-4182-8dd0-d42a1587c6dc · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-05T15:20:45.411834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation cb476dbb-186f-420f-8e37-2217bb8ee2cf · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-05T15:20:44.606437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98006bbb-2e06-4332-9428-543ece1fdb18 · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:20:46.106999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e17eec87-ab13-4dfa-a967-a83704afbe86 · outbound

This paper cites C., Keske, J.

Modal Geometry Governs Proteoform Dynamics C., Keske, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:20:46.072237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f32ef492-aaea-4289-bdf9-872f0bed24c4 · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 15

Resolution: verified exact; raw_fallback, observed 2026-08-05T15:20:45.281033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2ddc03c9-397d-46f5-bacc-8af289a42580 · outbound

This paper cites Quantum Pascal's Triangle and Sierpinski's carpet.

Modal Geometry Governs Proteoform Dynamics Quantum Pascal's Triangle and Sierpinski's carpet

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-05T15:20:45.080330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d25f4835-6c80-4739-b0f1-1d8160023aff · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:20:46.044568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f3210a57-0e13-4f4e-a792-3baa1de831bf · outbound

This paper cites Chaos: Making the New Science.

Modal Geometry Governs Proteoform Dynamics Chaos: Making the New Science

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:20:46.008618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9cc2dda7-37e9-411e-b2c0-c54c89433874 · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:20:45.976222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9028a282-9ec7-4cb1-acad-d14ce851c5ca · outbound

This paper cites B., Swinney, H.

Modal Geometry Governs Proteoform Dynamics B., Swinney, H

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:20:45.950062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 707943f7-bfe8-4714-9003-acca8b674467 · outbound

This paper cites The entropy formula for the Ricci flow and its geometric applications.

Modal Geometry Governs Proteoform Dynamics The entropy formula for the Ricci flow and its geometric applications

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-05T15:20:44.688252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f6fabb2-35de-4225-9115-f1fcda2eeb62 · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:20:45.917627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 86b26e91-aa55-47f7-8ef4-12aed4dbbac9 · outbound

This paper cites Invariant Variation Problems.

Modal Geometry Governs Proteoform Dynamics Invariant Variation Problems

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-05T15:20:44.700652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1fd12b0-1bfd-4e92-84fc-dd65b95e4f89 · outbound

This paper cites R., Davies, M.

Modal Geometry Governs Proteoform Dynamics R., Davies, M

Reference 24

Resolution: verified exact; doi, observed 2026-08-05T15:20:44.958385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation dbb74732-8f28-4d83-9c25-4b704c6eecd4 · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 25

Resolution: malformed identifier; doi_truncated, observed 2026-08-05T15:20:44.930633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7c8e8c80-dec3-43dd-be61-705dcafdc95d · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:20:45.890443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b7d303c9-c2b7-4a1b-9caf-ebc1caf4a315 · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:20:45.846978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7083d9c7-ee3e-4eb2-8916-a6007bdc35aa · outbound

This paper cites von et al.

Modal Geometry Governs Proteoform Dynamics von et al

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:20:45.810999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 207e7ed5-2a0c-4b19-aad5-19a86ba8657f · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:20:45.774431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 03d6321b-883d-45ac-8b8f-1bed26f6cbd6 · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:20:45.748297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8363dcad-e1e4-40fa-8cf0-fe16b6d4c963 · outbound

This paper cites The Activated Complex in Chemical Reactions.

Modal Geometry Governs Proteoform Dynamics The Activated Complex in Chemical Reactions

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:20:45.706827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c9612a5f-2449-42db-a258-b6030bb38eb4 · outbound

This paper cites C., Peskin, A.

Modal Geometry Governs Proteoform Dynamics C., Peskin, A

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:20:45.677897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fc089724-56f4-4fd4-9938-f6b1f5e25700 · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 33

Resolution: malformed identifier; doi_truncated, observed 2026-08-05T15:20:44.906307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3c6ed3c6-695f-4844-bbaa-891e8d673190 · outbound

This paper cites & Ulam, S.

Modal Geometry Governs Proteoform Dynamics & Ulam, S

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:20:45.645352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 213f4a15-e2d2-4b4f-be64-585abccf3100 · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 35

Resolution: verified exact; doi, observed 2026-08-05T15:20:44.874680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5f81df67-316a-4c5f-9ffe-820e003d5290 · outbound

This paper cites an unresolved cited work.

Modal Geometry Governs Proteoform Dynamics Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:20:45.612408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 63374e37-1e6b-48ec-8443-9123c207bc24 · outbound

This paper cites two-site jump.

Modal Geometry Governs Proteoform Dynamics two-site jump

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:20:45.575134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

No inbound Pith citation observations are available.