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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
  • metadata mismatch0

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
raw_fallback, observed 2026-08-14T05:12:55.101031Z

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
raw_fallback, observed 2026-08-14T05:12:55.070486Z

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=sha256:956f96225257ea8d1d472e3a6b4a42643901e1a65ba21623e92a5d81fbf6d2ae

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:ee6943ba7b16303e00e0360143e52a3ce9dbed0bd668528f5b834da31e823881

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
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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=2026-08-14T05:12:54.694793Z digest=sha256:860cb23b71f514dcbe1d716a25f9c5c0e06ee484e7b717c7ce1cd7da1b966249

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=sha256:6e15fb40a9a4f749e0002ad5b9d944784dced2ba218ca259d9507ea6bbe09d94

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:c135ee7c5aa8c17e12917c427a03744bc15cebfe48e404b5e0c880420e109168

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.

source=pdf_text observed=2026-08-14T05:12:54.714478Z digest=sha256:9b0806ea0e0f902f716fa89f1a3226a225b4efee9b4b9426a199c4d7cb1b08e3

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=sha256:7cf9a2639e86ebcc9d6e065b2edfb0c71b15db7b92e041b1ca8e874b89554c84

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=sha256:9b9eac26f74436cadd22c934ace6d5183b25cd0dcf4d02a64a6fc2998c6f3ae0

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.

source=pdf_text observed=2026-08-14T05:12:54.729139Z digest=sha256:5ac798bc3b0885c85c4b1d6d23ceb6a4fc6664286390fb5fedb82bfce31e435b

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.

source=pdf_text observed=2026-08-14T05:12:54.733881Z digest=sha256:fe248fb03abe7b3e7e8b664b07cc8b14816d4c2b4a4d333c8ce19ac22c9327a2

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:dd84197548ffaafc7d95c2cd5d1f82462ae3b3ca49ebf4398e20fe9b6a5d0839

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=sha256:898b48ff426b22665636c71b505e2d23c747b4e07d3bfa4302b64aac0c97664a

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:fb50e7596c0166f9083c56e08294ec5203ad28f4949c5ea602f70e008266b044

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:bbbb31717c8c8bfeaf442738f34fad239b94b4ac03fb30d5123bd50d5fc5b6bb

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=sha256:81e04e68a546e0c20dddbef7656df9b3d56b2ea757d37b4aa67c1e6c4c17e6d6

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.