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Paper Citation Record · LEDGER

Collective modes near a Pomeranchuk instability

As of 19 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:1908.04800.

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

pith.paper-citation-record.v1
1908.04800 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:38:41.910229Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

18 of 18 outbound references displayed

  • verified exact1
  • verified fuzzy14
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 15b89f91-4cd2-4db2-9e0a-1fc4a5fe2938 · outbound

This paper cites Comparing the results for for the l = 0, 1, 2 modes, we see a difference between even and odd l.

Collective modes near a Pomeranchuk instability Comparing the results for for the l = 0, 1, 2 modes, we see a difference between even and odd l

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:38:42.639869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:38:41.650267Z digest=sha256:626366fbcf758d7ee414a6fd6739582f5812308e7cfea654e1e778351fa07afc

Observation 983bb9f4-e8d3-4e8c-9073-3a0f61ed1fa3 · outbound

This paper cites Expanding Eq.

Collective modes near a Pomeranchuk instability Expanding Eq

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:38:42.631154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:38:41.653975Z digest=sha256:02706714983b1716bc625e7d1aef53e7e41941d2fa4d23e3b25918b52fc20a5f

Observation 59a0625a-9f49-495b-b628-b579c103e1de · outbound

This paper cites For the transverse channel [for which we have to choose the minus sign in Eq.

Collective modes near a Pomeranchuk instability For the transverse channel [for which we have to choose the minus sign in Eq

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:38:42.622150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:38:41.658047Z digest=sha256:98b6f254604f68cbfb2e09a9e7fa5c43623a67a6dc581b165638ac02cc28da51

Observation 33955464-1cf7-46b0-a503-a56c8afd2cb8 · outbound

This paper cites We do not present the details of calculations and just state the results.

Collective modes near a Pomeranchuk instability We do not present the details of calculations and just state the results

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:38:42.612586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:38:41.660993Z digest=sha256:cf3f745c0ab7462c159b78fbba4f6b58ea82c7548d99a1caf0ab9aca34009673

Observation 74c03615-acbd-4262-8376-effeb49ae1c4 · outbound

This paper cites (62), and l− 1 solutions sn = arccos(πn/l), 0 < n < l.

Collective modes near a Pomeranchuk instability (62), and l− 1 solutions sn = arccos(πn/l), 0 < n < l

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:38:42.497611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:38:41.664233Z digest=sha256:d92121e1353f83cb9d593afb6126bc70f55fb68f9b62e54126468c983d549a02

Observation b036ae06-7827-478e-aa86-df51be11ae6a · outbound

This paper cites In the pre- vious sections, we saw that a critical zero-sound mode corresponds to small s.

Collective modes near a Pomeranchuk instability In the pre- vious sections, we saw that a critical zero-sound mode corresponds to small s

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:38:42.450003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:38:41.668431Z digest=sha256:40a6e81eee41a92b667c6bff6d39dc0051233964d5aff77d18ecf411398b62b9

Observation 39975dce-cd54-412a-b8dd-f2eb62b21594 · outbound

This paper cites 30 and 46.

Collective modes near a Pomeranchuk instability 30 and 46

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:38:42.440349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:38:41.671681Z digest=sha256:8f31456219b1ea6b41624d119e7ef4d7791f28a4a69d67b140994b3678b86c9f

Observation 6c459b40-610a-49e9-87f3-931e79ff6403 · outbound

This paper cites We normalize Ym 1 as Y 0 1 (θ) = √ 3 cosθ and Y±1 1 (θ,φ ) = ∓ √ 3/2 sinθe±iφ.

Collective modes near a Pomeranchuk instability We normalize Ym 1 as Y 0 1 (θ) = √ 3 cosθ and Y±1 1 (θ,φ ) = ∓ √ 3/2 sinθe±iφ

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:38:42.394413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:38:41.675494Z digest=sha256:b45ea85090afc3154e5a5ec39b19935ada46f6a0491c8a81e235bb3f48d97bc6

Observation 909272e6-179e-456d-a21d-040b679de701 · outbound

This paper cites For −1 < Fc(s) 1 < 0, the poles of χlong qp,1(s) are at s1,2 =±a1−ib1, where a1 and b1 are given by Eq.

Collective modes near a Pomeranchuk instability For −1 < Fc(s) 1 < 0, the poles of χlong qp,1(s) are at s1,2 =±a1−ib1, where a1 and b1 are given by Eq

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:38:42.384981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:38:41.763699Z digest=sha256:ed52f39626f5e78e0cca58b53c54e0bfa48a01fcb90111821111546cbe4ccd57

Observation 7ee83dd9-f4c4-4bd7-8612-2d97ec69a623 · outbound

This paper cites At Fc(s) 1 = 0+, si 21 tends to infinity.

Collective modes near a Pomeranchuk instability At Fc(s) 1 = 0+, si 21 tends to infinity

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:38:42.375231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:38:41.854115Z digest=sha256:18cee6483d8ae94e15a551251df39319b3680ab7f6e2fed4d76d9d0b94fc6d0c

Observation e288d6a7-791d-46e4-9372-7c393d3e2300 · outbound

This paper cites For small negative Fc(s) 2 , the latter pole is at the lower edge of the branch cut.

Collective modes near a Pomeranchuk instability For small negative Fc(s) 2 , the latter pole is at the lower edge of the branch cut

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:38:42.337189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:38:41.888410Z digest=sha256:9896f8e0798a310eee31b5117b1dfc97e8c1e08f85e72eca70bf0fd2be491dbf

Observation e49e1b5e-1e94-45ea-81fd-0aaf6c6dbaf4 · outbound

This paper cites an unresolved cited work.

Collective modes near a Pomeranchuk instability Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:38:42.306992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:38:41.891435Z digest=sha256:09e1c79735ddfcab8f07ef8324e28cb03135b72c1c714676c8c77826160df48b

Observation a179a6c1-0ff3-4f36-952f-d553d7b2ea82 · outbound

This paper cites an unresolved cited work.

Collective modes near a Pomeranchuk instability Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:38:42.295772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:38:41.895509Z digest=sha256:18f32c61f1b4b4ad3b46b32c6012a6f74ceeedca7002a6538d1c8a2bcf143fa4

Observation 60d0abca-8f32-4259-9333-9a6b424637e4 · outbound

This paper cites We also see that the pole contribution contains two relevant scales t∗ a = [ 2/(1−|Fc(s) 1 |) ]1/2 andt∗ b = 4/(1−|Fc(s) 1 |).

Collective modes near a Pomeranchuk instability We also see that the pole contribution contains two relevant scales t∗ a = [ 2/(1−|Fc(s) 1 |) ]1/2 andt∗ b = 4/(1−|Fc(s) 1 |)

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:38:42.236432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:38:41.898241Z digest=sha256:1f780a9c879647c81dafdef83a5d7105b949bbfea97eeef971da87658b857934

Observation 9d647eff-7f81-4535-9ea9-1d8ea55cee53 · outbound

This paper cites The behavior of χ tr 1 (t∗) is then the same as for the l = 0 case.

Collective modes near a Pomeranchuk instability The behavior of χ tr 1 (t∗) is then the same as for the l = 0 case

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:38:42.102004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:38:41.901184Z digest=sha256:85e48f57335e7c7276a75a0ee806475d4e80faf9e256ce3c3aa4e5c386050511

Observation d0260aa0-441b-418b-8058-4be9a2d45c3e · outbound

This paper cites What was said above does not apply to the special case of a Galilean-invariant system.

Collective modes near a Pomeranchuk instability What was said above does not apply to the special case of a Galilean-invariant system

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:38:42.091980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:38:41.904367Z digest=sha256:9f61013aab00d3b497fabc71bae37fb48adb073c253b2c86f023ecb513c88ee8

Observation 1802d7cb-0443-414a-96fb-a655bd8cbc79 · outbound

This paper cites an unresolved cited work.

Collective modes near a Pomeranchuk instability Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:38:42.082889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:38:41.907320Z digest=sha256:4f3c8a6393d3b45181c71b3de24c99f2fa2eb7230e98428dd9d003e85a241f7f

Observation 0d62ac84-eb91-4a4b-8d23-6e35efc11f7a · outbound

This paper cites Shear sound of two-dimensional Fermi liquids.

Collective modes near a Pomeranchuk instability Shear sound of two-dimensional Fermi liquids

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:38:41.996049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:38:41.910229Z digest=sha256:aad75a1e449ed58d20ddb692a0ef3c5f0105af198edd7c471a45230d8a167b73

Pith citing papers

No inbound Pith citation observations are available.