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Paper Citation Record · LEDGER

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II)

As of 13 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2507.01317.

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

pith.paper-citation-record.v1
2507.01317 v2

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:07:46.938104Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T06:26:15.600529Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-03T15:28:34.811277Z

Reference resolution

24 of 24 outbound references displayed

  • verified exact2
  • verified fuzzy13
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c281a3f9-5a5e-4f2f-9280-eaf8153e5546 · outbound

This paper cites Bejenaru and S.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Bejenaru and S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:07:47.517080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.807648Z digest=sha256:ead6b1fc356bdf11378dc46906d0eb2a80ac486bd48d641b3ad073e66836bb56

Observation fc0ab0f3-6b69-4e41-99d8-f867418384c7 · outbound

This paper cites Bejenaru, S.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Bejenaru, S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:07:47.497624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation d495e5e9-57ee-4a47-8c89-c6395b438e7f · outbound

This paper cites Bejenaru, A.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Bejenaru, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:07:47.477744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 5ed6aa84-b68b-4e06-bb51-6c36c6257e2e · outbound

This paper cites Bourgain and J.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Bourgain and J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:07:47.459108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.825111Z digest=sha256:bc52167c3c306c9ef213cf0d2e9bcda066ba6e0ffa99f11c130a557e8b921743

Observation f93b5d01-341c-451e-bf05-59c7ffbdef31 · outbound

This paper cites Candy, S.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Candy, S

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:07:47.441412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.830379Z digest=sha256:9e3f3d6b64e9d9c8dfa6c9634fd2e9ce8dc27277bbd9352cf6c2fbffcc939ce8

Observation c482bf8b-e8d8-445b-beec-73c21fc70ca3 · outbound

This paper cites Candy, S.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Candy, S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:07:47.421211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.835366Z digest=sha256:72f15df86ebe5348de7d6667984ae1ba65c1d1e21c558e6a6a69c133be2a3d84

Observation 386c4792-333a-4220-9802-f72af7126ad7 · outbound

This paper cites Christ and A.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Christ and A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:07:47.397760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.841295Z digest=sha256:3788d67b517a123ea004900b1571626aeb730316625ba9be6a1ddf5093d81943

Observation dac590e1-7050-41d6-8670-9e1b0f797e39 · outbound

This paper cites Colliander, J.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Colliander, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:07:47.378113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.846603Z digest=sha256:5073bfc9d311e90c854f66d5ea077cb0554a31afc85f9b86aa554eb98dc81234

Observation 8f2d7595-f704-40d4-86c4-349654642664 · outbound

This paper cites an unresolved cited work.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:07:47.349772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.851539Z digest=sha256:fba5951648e2dc44721491ae3d986930954e35dfeaf1640f5600fcb014ed4d78

Observation c0f2fb12-dbae-4a76-b727-42a96435b206 · outbound

This paper cites Ginibre, Y.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Ginibre, Y

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:07:47.327944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.857031Z digest=sha256:24d19a7c6ec92919dc8fd5ab38ad5f5d1cab3ed947a1b7ff8f0a09e20aa14f5c

Observation 2867a01e-833a-4277-93e5-9d44c2718a55 · outbound

This paper cites an unresolved cited work.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:07:47.304325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.862644Z digest=sha256:11822793a4696849111afa7716cb49a43947506f764a2cfdac47d8ddcbac6aee

Observation 93b4ee0f-58d1-4bd4-b38a-a1a2cee4dacf · outbound

This paper cites Guo and K.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Guo and K

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:07:47.283138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.868060Z digest=sha256:b94afa5309e98dc19f4febc1d9224e540c30462a106995e042a74a6a219482ec

Observation daae999c-196a-437a-b814-675ee2ae4d7e · outbound

This paper cites an unresolved cited work.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:07:47.262147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.874129Z digest=sha256:239cd515b012c205d2a75c3fc8efee0a7a51ae62c5831046b804a4e447211d80

Observation 47f27c36-45af-4c20-ae35-db7d2e5ceed0 · outbound

This paper cites Keel and T.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Keel and T

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:07:47.239580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.878919Z digest=sha256:89655f141cfe97956adee7eba7acda1a86255a6d2ab2cd6767652ba96d4571be

Observation c848dc7f-d7ac-46b2-a4b8-0b7215306c8e · outbound

This paper cites an unresolved cited work.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:07:47.216182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.883932Z digest=sha256:53b1f004b82fb6532e1ddfad5813ec665bcb2222968621244b477182804012ae

Observation adeac14b-e082-41b4-aa5c-0a3eeaa1ee5b · outbound

This paper cites Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-06T21:07:46.889450Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:07:46.889450Z digest=sha256:441d56d0b6a2d0ab0377e4f9ae47ae402bfbb92bfaa99ac81055e8fcbf67702d

Observation ed199db3-e553-4023-adb3-30f31b2cf018 · outbound

This paper cites Lai and Y.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Lai and Y

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:07:47.183326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.895392Z digest=sha256:2fed55ab59fe2a34a20e2b5b3468c30b8b4e74550aaa9a09c59336f9207ad3cc

Observation 415ad6b4-6128-45ff-9500-341ff04b2c45 · outbound

This paper cites an unresolved cited work.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:07:47.160340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.901050Z digest=sha256:6aee5d54ab3d648c795787d7bcc1098baa809afd0d02668c16d6a0c94caa7bf9

Observation 1dbbb75f-4cae-4efb-8eca-c0e117e048d0 · outbound

This paper cites Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:07:47.075796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.906870Z digest=sha256:128a376e2306eba80be4290f12a19953c152992a3b93aca00376a3a34a3292d3

Observation deca1184-d040-4e69-8a34-169ebf8104b0 · outbound

This paper cites Global well-posedness for radial extremal hypersurface equation in $\left(1+3 \right)$-dimensional Minkowski space-time in critical Sobolev space.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Global well-posedness for radial extremal hypersurface equation in $\left(1+3 \right)$-dimensional Minkowski space-time in critical Sobolev space

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:07:47.042368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.912884Z digest=sha256:db2c97fd8439fb8d942a1f9dadb6d32ad2e3449322fb3cdf7f7cbc6359106f04

Observation 3700c010-227f-4dfc-b594-328a360c7b7e · outbound

This paper cites Periodic Schr\"odinger map flow on K\"ahler manifolds.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Periodic Schr\"odinger map flow on K\"ahler manifolds

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-06T21:07:46.920431Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:07:46.920431Z digest=sha256:f81d5ed5cbd14d9d856cd0b87aa20c12ffb9457d8f084a89fdc7d3b65b3182b3

Observation 1ba7a58d-37e0-4d99-9f37-ee92514d6046 · outbound

This paper cites Wang and Y.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Wang and Y

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:07:47.140306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.926377Z digest=sha256:7879db0ad1f50cca2b1721b3f1e8aeab964c802f6483cdca4581fa7f8b534b33

Observation 3d9ef10e-84ec-4798-b92c-fe35d8c76829 · outbound

This paper cites an unresolved cited work.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:07:47.121052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T21:07:46.932521Z digest=sha256:0d3c896137b8dd92a8c7e0e46359040c349c90678fbd43e390980216a3dc709a

Observation 4c398e2c-b2f5-4631-bdd2-b8ebf9c6abeb · outbound

This paper cites 1+2 dimensional radially symmetric wave maps revisit.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) 1+2 dimensional radially symmetric wave maps revisit

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-06T21:07:46.938104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:07:46.938104Z digest=sha256:36db40f8946b35fe9e1b09121450a07c7266fb27fe64da87401a57ddec0f4f54

Pith citing papers

Observation 1eb3cf51-f93d-41fd-95d6-3dd87a935a47 · inbound

Low-regularity Schr\"odinger map flow on high-dimensional periodic domains cites this paper.

Low-regularity Schr\"odinger map flow on high-dimensional periodic domains Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II)

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-07-03T15:28:34.812550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-27T06:26:15.600529Z digest=sha256:481c8c5b2ab236ea4ef88b360bef13c831d483b7c6b444f7196ef1b8403c2cbc