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Paper Citation Record · LEDGER

Signature maps from positive cones on algebras with involution

As of 21 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 2026-08-20T06:33:59.587034+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

20 of 20 outbound references displayed

  • verified exact1
  • 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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:45.832579Z digest=sha256:aff05d8aa50cbf606a6367a261d20f3c4eee075dc4c5bbcd4162bebf73b14f1f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:45.941541Z digest=sha256:8dbdbb955ab53a4ff4522092f73c4304e88d28f900ef900af3ae1f2a6d5283b0

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:46.088154Z digest=sha256:c1cb00804c81a18571f3ccd9cb4fe794382efa4d2f700f6ef6344c7d1f3c9da0

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:46.244200Z digest=sha256:3fc9f221d1360bc8a94d5835ef46e90efddc70d6960c8d3be7d75faffa8671da

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:46.335704Z digest=sha256:b751b8c508d3a7a274522bbb9a1a20d8e8aaad744c75202d843ad7146fb0109b

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

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:46.428833Z digest=sha256:85b4d78345ad1a0887d353fecc169a2c9375bd0011511583952a6e56f59c2fdd

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:46.549274Z digest=sha256:1f63de18b693e1f94250a8b77d98855a8a38262ec14c7801f58074b1614abd90

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:46.663720Z digest=sha256:591d18d264cbb0f63e16ee00d9b81337c9cabb73ddd06cd80e74cf90a82f99df

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=sha256:0615f55b9e95b471226d55d67e061b90edb472ba6ba37034266d1a15bae4e03e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:46.832511Z digest=sha256:6b3408125847089da0a7f5ac08d9fb34e4603717d72052bca1b2651c22c6ea2b

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

Resolution
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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:46.915928Z digest=sha256:96563d9d59593f1c04821e0db6cf2bfaae0cd7f43a22c1ec7be209a73ac65b07

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:46.968997Z digest=sha256:05a15af72456a2a1c658f21be5a1d7d3752260f0fbd1d855792e681159e61c76

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:47.011537Z digest=sha256:5467c4d13ed9c6265890bae4fabc4a76ab0cd83373b4e8c4c8ffa30c0805aa5c

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

Resolution
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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:47.084777Z digest=sha256:fad7a714ba982d83024f0ca234f976603a9c902d4fad346a60bfe9600185d29c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:47.177333Z digest=sha256:9d22572ab7bb85f85ff4fabf4592880190724a7e6bd010bb7a2d4b01dd609fa9

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:47.218869Z digest=sha256:63112e03eaad3415784ce2b43bba960f91572382b1ab5ff4c74271c8a0fc0c5a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:47.291141Z digest=sha256:e1f176e9123a70202b8534300ff7b1212ee9b9d6cd461565ded5549b0a5a7301

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:47.423713Z digest=sha256:67e76c9df2e23e033e53314424ab87382ff20dd8c74556ed42c8c192651db98c

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

Resolution
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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:47.554108Z digest=sha256:37b852d7c7833220ca11b5441f092067f5a99f862fb3206145061b87cd649d77

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T13:22:47.632402Z digest=sha256:5807c283b986c54522f52ee458f4a1de43a3a64636e277b24069063ca6ba75cd

Pith citing papers

No inbound Pith citation observations are available.