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Paper Citation Record · LEDGER

Signature maps from positive cones on algebras with involution

As of 7 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2505.22178.

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

pith.paper-citation-record.v1
2505.22178 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:22:47.632402Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

20 of 20 outbound references displayed

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  • verified fuzzy18
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6f857d95-2b91-40f8-bd30-6535eef46c15 · outbound

This paper cites Signatures of hermitian forms and the Knebusch trace formula.Math.

Signature maps from positive cones on algebras with involution Signatures of hermitian forms and the Knebusch trace formula.Math

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:22:50.558420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:45.832579Z digest=sha256:9356a4b5b88d0752542a04aa4cab4b162698e0b5939368dbdb9f839686a0c644

Observation 0b967e77-e114-4b65-a12f-e9c56c2819fc · outbound

This paper cites prime ideals.

Signature maps from positive cones on algebras with involution prime ideals

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-07T13:22:50.408365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:45.941541Z digest=sha256:04c9eddc1fc4fa1fd71bed10807d375c637de9bcfc2f3897d21248f3f0b0ff37

Observation db7be001-0bc5-4951-895b-a4b5f6ad9e86 · outbound

This paper cites Signatures of hermitian forms, positivity, and an answer to a question of Procesi and Schacher.J.

Signature maps from positive cones on algebras with involution Signatures of hermitian forms, positivity, and an answer to a question of Procesi and Schacher.J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:22:50.307356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:46.088154Z digest=sha256:284af943351c3b4287eb3b749f9833f21a6178161f74f06022e10847f83a7b32

Observation 26ece39a-07f3-4fdf-91a2-d24ae97af352 · outbound

This paper cites Positive cones on algebras with involution.Adv.

Signature maps from positive cones on algebras with involution Positive cones on algebras with involution.Adv

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:22:50.177521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:46.244200Z digest=sha256:1b7bd2e0b7210d8000c4d5dbb79e712a85ac5bbe3392dc389d7efad0e3088760

Observation 737bec90-4a27-44b2-acd1-c464a5e20232 · outbound

This paper cites Pfister's local-global principle for Azumaya algebras with involution.

Signature maps from positive cones on algebras with involution Pfister's local-global principle for Azumaya algebras with involution

Reference 5

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verified exact
local_arxiv, observed 2026-08-07T13:22:47.828878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:46.335704Z digest=sha256:37ed1f81aa6482ace8cd27a7f669501171516d664d8d4d666e1aeded5e0c5abe

Observation 70859719-5152-4bbd-97ab-a0600c07453d · outbound

This paper cites Bayer-Fluckiger and R.

Signature maps from positive cones on algebras with involution Bayer-Fluckiger and R

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:22:50.049537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:46.428833Z digest=sha256:a4a91eccab45aa892622ff1bc7a68cbdf1ad1a8652a06288ececba8d61d744cd

Observation 59717d97-a831-4055-8edb-7584fa4d5b36 · outbound

This paper cites Weakly hyperbolic involutions.Expo.

Signature maps from positive cones on algebras with involution Weakly hyperbolic involutions.Expo

Reference 7

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verified fuzzy
raw_fallback, observed 2026-08-07T13:22:49.877475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:46.549274Z digest=sha256:8c9a8352573b080862eeaa1acdf66917b12dc296db39b04d1a53f86f723110f7

Observation c3482dd4-da58-43d3-8d7e-07dddec899ce · outbound

This paper cites Springer-Verlag, Berlin, 1998.

Signature maps from positive cones on algebras with involution Springer-Verlag, Berlin, 1998

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:22:49.705333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:46.663720Z digest=sha256:ce06d50db28e3c96caa0460bec0524bf84a292d63025f20bf7af0962fe200782

Observation f38456fd-a5c5-46f7-a24d-ed503c650e2f · outbound

This paper cites an unresolved cited work.

Signature maps from positive cones on algebras with involution Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T13:22:46.730296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:22:46.730296Z digest=sha256:2aae0abc62745191d2b9d77de63b3f28f74e2990aa5c5dcfd1674a3bf9bab075

Observation a9c2b513-7581-4973-8968-1662598c7395 · outbound

This paper cites Mixed Witt rings of algebras with involution.Canad.

Signature maps from positive cones on algebras with involution Mixed Witt rings of algebras with involution.Canad

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:22:49.544803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:46.832511Z digest=sha256:a00fdd6d2fe42e56f9dcd2aa75299f3e9a23b0a3e8c9c418ba996aad0d725772

Observation bc274203-cc72-40f9-9be0-0a4a3c0bb6a0 · outbound

This paper cites Springer, New York, second edition, 2007.

Signature maps from positive cones on algebras with involution Springer, New York, second edition, 2007

Reference 11

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raw_fallback, observed 2026-08-07T13:22:49.374620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:46.915928Z digest=sha256:2ab040adc0b450c36533cbd42b3e0c9114a758ccb939e490dc600f4ab885b167

Observation bfd11b6f-3672-4913-bd8d-6e13551d7137 · outbound

This paper cites Springer-Verlag, Berlin, 1991.

Signature maps from positive cones on algebras with involution Springer-Verlag, Berlin, 1991

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:22:49.171510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:46.968997Z digest=sha256:a7f1b1a707999f0679925ff96e7bb3cd27693e4359d1fcb70dfd7cb1abe66962

Observation 6b2db76a-3114-4347-ae05-3cf26f549add · outbound

This paper cites American Mathematical Society, Providence, RI, 1998.

Signature maps from positive cones on algebras with involution American Mathematical Society, Providence, RI, 1998

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:22:49.051848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:47.011537Z digest=sha256:877d7d01edbecf36ee03ccdab2b32f71664528c9333a5105742c4eec2a542b87

Observation 91e60f7f-9980-4a95-baea-f107f909a5c2 · outbound

This paper cites Ordered fields dense in their real closure and definable convex valuations.Forum Math., 33(4):953– 972, 2021.

Signature maps from positive cones on algebras with involution Ordered fields dense in their real closure and definable convex valuations.Forum Math., 33(4):953– 972, 2021

Reference 14

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verified fuzzy
raw_fallback, observed 2026-08-07T13:22:48.884294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:47.084777Z digest=sha256:28b4387f5f548f12291127b824419ea9fb08a49aba07feb48401a66875f12355

Observation 2d785ec9-1841-4b40-beb6-f11de18c0647 · outbound

This paper cites Lewis and Thomas Unger.

Signature maps from positive cones on algebras with involution Lewis and Thomas Unger

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:22:48.723247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:47.177333Z digest=sha256:8a0daf8886ec1eb65aa3bedd5b46803b24e9d2dac4f43bf64b6db6f6e5fe5e53

Observation 28e834d3-615a-4d2f-bbe2-5ba702753c08 · outbound

This paper cites American Mathematical Society, Providence, RI, 2008.

Signature maps from positive cones on algebras with involution American Mathematical Society, Providence, RI, 2008

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:22:48.492807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:47.218869Z digest=sha256:34ae1d8c4a16e404f1eb9914c62445e86952a2eec2dad66a8bef7b7505a72edc

Observation 855a7931-2d10-4e26-93fb-dd184f19787e · outbound

This paper cites Delzell.Positive polynomials.

Signature maps from positive cones on algebras with involution Delzell.Positive polynomials

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:22:48.365867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:47.291141Z digest=sha256:8de59ad00a83834312fe6648f32d0703558481d188f829e5bdd7c168ceb4637b

Observation adb2a538-64ed-4d8e-839f-1f51c103d306 · outbound

This paper cites Springer-Verlag, Berlin, 1985.

Signature maps from positive cones on algebras with involution Springer-Verlag, Berlin, 1985

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:22:48.266444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:47.423713Z digest=sha256:e722d3ba505a06fc39c8dc60bc16282b589c9f57f06b39d4e154198d59ef6a5a

Observation 7d80fa0e-e62d-442f-98d0-2cdf4ea0751d · outbound

This paper cites Positivity and sums of squares, volume 303 ofGrad.

Signature maps from positive cones on algebras with involution Positivity and sums of squares, volume 303 ofGrad

Reference 19

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raw_fallback, observed 2026-08-07T13:22:48.109887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:47.554108Z digest=sha256:f2ffc9595e8b8a91f6a444cb0c0a8ac8d99162e4abf33f53c13077b1bcc7961a

Observation 0f496908-cf38-42a7-9f20-3c18f35d24bc · outbound

This paper cites Quaternions and matrices of quaternions.Linear Algebra Appl., 251:21–57, 1997.

Signature maps from positive cones on algebras with involution Quaternions and matrices of quaternions.Linear Algebra Appl., 251:21–57, 1997

Reference 20

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raw_fallback, observed 2026-08-07T13:22:47.951956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:22:47.632402Z digest=sha256:b3db322e4163a9dbb1c26ca958c086f597fa73f225f6d33357070ad26fd29118

Pith citing papers

No inbound Pith citation observations are available.