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Paper Citation Record · LEDGER

A solution to Banach's isometric conjecture

As of 15 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2608.13536.

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

pith.paper-citation-record.v1
2608.13536 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:12:54.763231Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy20
  • unresolved1
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3dbb3d38-e47c-4f1e-9f48-e7c024974f93 · outbound

This paper cites Auerbach, S.

A solution to Banach's isometric conjecture Auerbach, S

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 2db45caf-18d9-48f2-9d7f-98d812c75e7b · outbound

This paper cites Atiyah, I.

A solution to Banach's isometric conjecture Atiyah, I

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 8893a65a-7797-4e0b-bba6-3a21b25b5048 · outbound

This paper cites Banach, Théorie des opérations linéaires, Monografie Matematyczne, vol.

A solution to Banach's isometric conjecture Banach, Théorie des opérations linéaires, Monografie Matematyczne, vol

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:55.085436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation f67f8607-416c-4be5-a251-e127d88f7aa1 · outbound

This paper cites Bhatia, Positive definite matrices, Princeton Series in Applied Mathematics, Princeton University Press, Princeton, NJ, 2007.

A solution to Banach's isometric conjecture Bhatia, Positive definite matrices, Princeton Series in Applied Mathematics, Princeton University Press, Princeton, NJ, 2007

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:12:54.679257Z digest=sha256:29f89a66a2d1df21407fa52988efa9d22cf10c09dcadbe88209449508e912eeb

Observation ceaacd1a-81e9-4067-91fe-dfa59c69bfe1 · outbound

This paper cites Borel, F.

A solution to Banach's isometric conjecture Borel, F

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:55.055019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:12:54.683949Z digest=sha256:c2d797ffc2074dd5601837fe8c0858fe33af008581e150ed5be7a3e653562ea3

Observation dbad1c3d-1fa7-41f1-9394-47159f98f5cb · outbound

This paper cites an unresolved cited work.

A solution to Banach's isometric conjecture Unresolved cited work

Reference 6

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation d95a289c-9492-4a6a-9442-9b75b50b2437 · outbound

This paper cites Bracho, L.

A solution to Banach's isometric conjecture Bracho, L

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:55.024786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:12:54.694793Z digest=sha256:60bbb7b7b6f41d537620113770cf42e7713adec7832e2d4fd79817787c36c795

Observation 15611e8d-d7e4-4bb4-b5ca-a145863c5efd · outbound

This paper cites Dummit, R.

A solution to Banach's isometric conjecture Dummit, R

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:55.009047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:12:54.699517Z digest=sha256:25df9824eac3ac6c15a7c47ad6a47e0bc814fce81db78ffcf3ac975ae0785718

Observation 32bfa876-9fd3-4d10-9396-cfb83f7c4ac2 · outbound

This paper cites Dvoretzky, A theorem on convex bodies and applications to Banach spaces, Proc.

A solution to Banach's isometric conjecture Dvoretzky, A theorem on convex bodies and applications to Banach spaces, Proc

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.993671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:12:54.704105Z digest=sha256:f03dcab0e51ad7ef94e31d26fb6fecde46239f407333bcb93056675a08f9577c

Observation c38ed811-e47b-4c21-87ae-46aa0567e3d2 · outbound

This paper cites Evans, R.

A solution to Banach's isometric conjecture Evans, R

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.978231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 53c95ae8-7074-4551-b33e-0443cff15137 · outbound

This paper cites Fonseca, W.

A solution to Banach's isometric conjecture Fonseca, W

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.963312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation f6a0d02e-66a8-4bfa-89fe-f29ec75a4e72 · outbound

This paper cites Gromov, A geometrical conjecture of Banach, Math.

A solution to Banach's isometric conjecture Gromov, A geometrical conjecture of Banach, Math

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.947444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:12:54.719753Z digest=sha256:7fbc1d3c013bcaa8314bfd0f011fbf0d2d9c93221b4a9f3a196be4172c6c70b4

Observation 2261658a-5041-418c-858a-956c84904fbb · outbound

This paper cites Hatcher, Algebraic topology, Cambridge University Press, Cambridge, 2002.

A solution to Banach's isometric conjecture Hatcher, Algebraic topology, Cambridge University Press, Cambridge, 2002

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.931510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:12:54.724325Z digest=sha256:f41841e1030d3e2379383caa39c5202ab8584c35f4a5ff91d1ca8d543ef750ae

Observation 876b459b-0643-475d-a213-1feb106375cc · outbound

This paper cites Husemoller, Fibre bundles, 3rd ed., Graduate Texts in Mathematics, vol.

A solution to Banach's isometric conjecture Husemoller, Fibre bundles, 3rd ed., Graduate Texts in Mathematics, vol

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 2026-08-15T06:32:42.880941+00:00.

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Observation c1eafc93-c04e-4d3b-b55a-3fd89567e5dc · outbound

This paper cites Ivanov, D.

A solution to Banach's isometric conjecture Ivanov, D

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.900412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation cc8d9f7f-8a29-41c7-a6a4-664d42e779e0 · outbound

This paper cites Jordan, J.

A solution to Banach's isometric conjecture Jordan, J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.883266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:12:54.739355Z digest=sha256:76b52fa246bd258c94e0daa87596c850344e595419de90830f1cb756fe32ef44

Observation 0f310931-b1bf-4043-a3ab-9fe75a530be7 · outbound

This paper cites Lee, Introduction to smooth manifolds, 2nd ed., Graduate Texts in Mathematics, vol.

A solution to Banach's isometric conjecture Lee, Introduction to smooth manifolds, 2nd ed., Graduate Texts in Mathematics, vol

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.866384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:12:54.744657Z digest=sha256:f0b153eb0b7f0ad801b2fa42df4e77962fb14ac36cee6d6a725cb7463c9c526e

Observation 36baed3d-dbbb-4599-a553-1b6789069111 · outbound

This paper cites Milman, A new proof of A.

A solution to Banach's isometric conjecture Milman, A new proof of A

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.850933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:12:54.749123Z digest=sha256:4a4e74bebe907563ef61363ac7a6d8d0f0efe5346731c87a5a9d819a6a5c896a

Observation a03a2f37-244d-4e15-b0cc-0ec58c98e32f · outbound

This paper cites McShane, Extension of range of functions, Bull.

A solution to Banach's isometric conjecture McShane, Extension of range of functions, Bull

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.835267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:12:54.753696Z digest=sha256:9f07a2e74c84eb4f2003fb00c762a82a402614350e7ffcaae44657dc8d93def1

Observation b7864a3b-278f-4001-a84c-674dd0bb2cef · outbound

This paper cites Rudin, Principles of mathematical analysis, 3rd ed., McGraw–Hill, New York, 1976.

A solution to Banach's isometric conjecture Rudin, Principles of mathematical analysis, 3rd ed., McGraw–Hill, New York, 1976

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.818592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:12:54.758466Z digest=sha256:b0863b253f3e4e33418b4f50db8830bf36328dddc17d057f280e7f9145600b92

Observation b6b00445-bf83-49d5-8eec-f7e0dcfbd68c · outbound

This paper cites Serre, Groupes d’homotopie et classes de groupes abéliens, Ann.

A solution to Banach's isometric conjecture Serre, Groupes d’homotopie et classes de groupes abéliens, Ann

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.800963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Pith citing papers

No inbound Pith citation observations are available.