Pith. sign in

Paper Citation Record · LEDGER

Minimal surfaces: A Lagrangian derivation of first and second variations

As of 22 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2606.05969.

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

pith.paper-citation-record.v1
2606.05969 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T23:47:01.189217Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

39 of 39 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved39
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0d21b819-e031-49ae-ae4f-f748c12d645c · outbound

This paper cites Springer-Verlag, New York, 1988.

Minimal surfaces: A Lagrangian derivation of first and second variations Springer-Verlag, New York, 1988

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:0b600fde5409fe2da59019030c8ad55f0684cf4dae71d7bdbe3480277f213d2f

Observation 3408d760-1d4f-474f-b310-291a4bfc405c · outbound

This paper cites Grundlehren der mathematischen Wissenschaften.

Minimal surfaces: A Lagrangian derivation of first and second variations Grundlehren der mathematischen Wissenschaften

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:d2cdbd00deeb5c1aba81d01d0a4d5f13436dadd7c2baf3d1dd9f572ef0f8a8df

Observation 3766f9e8-7370-491c-92fb-ddd056df7463 · outbound

This paper cites Calegari.

Minimal surfaces: A Lagrangian derivation of first and second variations Calegari

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:90452a9c9d31119d70af8829c1277f4b7cc77d4bbac167ce79e3334b414251eb

Observation 0b1c7d05-cad3-4d3e-b3ad-2bfb9ec8c33e · outbound

This paper cites an unresolved cited work.

Minimal surfaces: A Lagrangian derivation of first and second variations Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:360e7e4a0fcc399eb647e482ad8df70ba7a6e50ec1692e29919a07346d2f591a

Observation b9763b8e-9dfa-412a-bf07-028633ef9714 · outbound

This paper cites Dell’Erba, F.

Minimal surfaces: A Lagrangian derivation of first and second variations Dell’Erba, F

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:0d9b7c41b866d999a978265efc4e0f3dcde9df0311151949dc66f0fb77886ea6

Observation d1aae47e-1e1b-4c28-886a-9478b0e0fe5c · outbound

This paper cites Dell’Isola and A.

Minimal surfaces: A Lagrangian derivation of first and second variations Dell’Isola and A

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:072ba43635692ad595ae7104139d8166fee582b14973fdd2b6a1c776f1f2c114

Observation 43d40c79-ad6f-4311-9ee3-8e43e9b256d7 · outbound

This paper cites Dell’Isola and G.

Minimal surfaces: A Lagrangian derivation of first and second variations Dell’Isola and G

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:4f2902fc6737b96a5a81d8e6231efd139bfa79fce7c7be51b8a4b6d6e469e89c

Observation ac665086-3acc-48dd-89d4-88a4890b8266 · outbound

This paper cites Dierkes, S.

Minimal surfaces: A Lagrangian derivation of first and second variations Dierkes, S

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:7343e22c8aa4ddfbb06b9a151de071f8e317d5c4c976215deafe4c1011bae1b5

Observation af2d47b0-bc3b-4e6d-ac74-359ac5446adf · outbound

This paper cites Dierkes, S.

Minimal surfaces: A Lagrangian derivation of first and second variations Dierkes, S

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:02f534b47cc16759f94932ecd721735c7c163f1673fbb056420e34cc57273748

Observation e29f3768-51a4-4d3f-be2f-6e5f72c8e8f7 · outbound

This paper cites an unresolved cited work.

Minimal surfaces: A Lagrangian derivation of first and second variations Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:ab2af86a17f84e78b90f8931ce0734a033ab5ce1793176f87ea6e95ad38e16f0

Observation 83b53940-b013-48da-9041-7da0162fa52a · outbound

This paper cites an unresolved cited work.

Minimal surfaces: A Lagrangian derivation of first and second variations Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:e68cfe2d72d4dfad27ebe3947865d90d33c66dfa0621a1ced405ca85d9cce112

Observation 59919dcd-a8b9-497c-9d0b-03b3ef52580b · outbound

This paper cites Fitzi and S.

Minimal surfaces: A Lagrangian derivation of first and second variations Fitzi and S

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:46066161b0e8e9c125314eebf3f26d0973d3b3947da1ffbdac5d37ef156f3671

Observation 63c5fea0-d107-47a8-a97f-54b6c7176020 · outbound

This paper cites Gagneux and O.

Minimal surfaces: A Lagrangian derivation of first and second variations Gagneux and O

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:d8ea0e054b5809720683ff4d00a5dc4769ca6b526b8e5b8d322245003b568b5e

Observation d53b7d9f-54ea-444e-a974-9004916f65db · outbound

This paper cites Gagneux, O.

Minimal surfaces: A Lagrangian derivation of first and second variations Gagneux, O

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:ce19a7cbe1850908084ec5d03b06703cfbdfa8d2643aad19a09cfc5d23dd80a2

Observation 3f734483-c83c-40e0-89e1-2295777eeddd · outbound

This paper cites Gallot, D.

Minimal surfaces: A Lagrangian derivation of first and second variations Gallot, D

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:aad3d9f258c4ffec961eafa64e6a30f7a7c1232c938a2d1c9894e6873499bcd2

Observation 890e750e-9e3b-4eb2-bc19-a34e0b4be8d7 · outbound

This paper cites an unresolved cited work.

Minimal surfaces: A Lagrangian derivation of first and second variations Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:8ff534420c6a331c61261687ce78e6c6a0e64b6c8c744512fe79f2bf8394d54b

Observation ed6b85d6-8ae6-44b3-9cde-ad46c2584dd0 · outbound

This paper cites Husemoller.

Minimal surfaces: A Lagrangian derivation of first and second variations Husemoller

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:1d802cfbfe967316e37a7d89302e051a698d48ba1ae3bd439fe5e9e9b08bec93

Observation 63cee114-da40-4b7e-aa20-f8299f20b48d · outbound

This paper cites Lagrange.

Minimal surfaces: A Lagrangian derivation of first and second variations Lagrange

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:3b09e551f8b0606bcd6932d9faf42b6435b2623d68ab58968966fbc1002b8120

Observation b3fdae70-889a-4423-a17e-4eb9679a349c · outbound

This paper cites an unresolved cited work.

Minimal surfaces: A Lagrangian derivation of first and second variations Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:9aaf090462f78c751a79a39bb7c9891039451899286ac2c80a01d3dfa181bd13

Observation 4f26f5bc-36c2-414d-8297-9ac9d944ae18 · outbound

This paper cites an unresolved cited work.

Minimal surfaces: A Lagrangian derivation of first and second variations Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:4f3c6ef4b759a50eaa12faf199b4d78ab55c93e8768de48f05cea2d0776ce71c

Observation c4f74267-1324-4122-8370-c1d75607d3bf · outbound

This paper cites Malladi and J.

Minimal surfaces: A Lagrangian derivation of first and second variations Malladi and J

Reference 21

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:da0681daa0df1a962c5b9eae42ead2fe13d70b3be3d584fe1c641ea818bd3720

Observation 12a2b985-1381-4cb6-93dd-a615cabc78c1 · outbound

This paper cites Malladi and J.

Minimal surfaces: A Lagrangian derivation of first and second variations Malladi and J

Reference 22

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:8b1aedcf006920dbd8d00a93750649cd749463af90c7804e60cef815045e7163

Observation 638daaf4-0b7c-4211-9f92-e45e298cc7ff · outbound

This paper cites an unresolved cited work.

Minimal surfaces: A Lagrangian derivation of first and second variations Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:eca00e02d82a903701d300aa3da037814d8c2834ea6591621f574aee1ebe32c2

Observation ea6bd430-512b-4645-8730-4d06ea169eca · outbound

This paper cites Meeks and J.

Minimal surfaces: A Lagrangian derivation of first and second variations Meeks and J

Reference 24

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:a8822d61e1eae229c25defc8884cccd3649198b800c7a83a666dd3ddbe94bf9e

Observation ffd1669c-e67d-44e3-83d5-ac60fd0e6342 · outbound

This paper cites an unresolved cited work.

Minimal surfaces: A Lagrangian derivation of first and second variations Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:b112946fbacd6e51231a4fdd818705ab216cb445df620070c0cfda6b000338a8

Observation 4712126b-b576-4bbb-8655-11681ac892d1 · outbound

This paper cites Meusnier.

Minimal surfaces: A Lagrangian derivation of first and second variations Meusnier

Reference 26

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:3a0de2ed773aab9a56b70be553d3d0864e10a1a56218c165ff71a57747fdc738

Observation 0967c535-9a7b-4ff6-a8b2-3c1a171ef53b · outbound

This paper cites an unresolved cited work.

Minimal surfaces: A Lagrangian derivation of first and second variations Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:674c945edc7b68bc336b07cfab2c3cb1b72db3bba79c774232502ac9f3b475d3

Observation bb979b82-1303-474a-9aaf-4a7b17620eed · outbound

This paper cites Millet and G.

Minimal surfaces: A Lagrangian derivation of first and second variations Millet and G

Reference 28

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:34053ad1334e5a5ccd00b8e0993666e572403554a867ce5e44fdeadf6f487828

Observation aefcfa65-f9c4-4894-b7b3-e7ef9e51fbb7 · outbound

This paper cites Osserman.

Minimal surfaces: A Lagrangian derivation of first and second variations Osserman

Reference 29

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:6b30e208d5870243bd07cf7ee3f99e00e1c026bd49299d96c0a2121880236128

Observation 312890ff-ec9e-49b3-bbb2-5b79c58846dc · outbound

This paper cites Osserman and J.

Minimal surfaces: A Lagrangian derivation of first and second variations Osserman and J

Reference 30

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:b452df674820a5e9fe7bc8d9b06f1c37c1537776988c0212b2490c6b2370e7c1

Observation 3d96c762-7fd7-43bb-93cc-bee61526dab4 · outbound

This paper cites an unresolved cited work.

Minimal surfaces: A Lagrangian derivation of first and second variations Unresolved cited work

Reference 31

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:f22d0550ee89df58b451af1eea727011ce679f0dbdee4d2f1536051a2c64ee34

Observation 112021dd-bcd1-4de1-b670-0e9301314c02 · outbound

This paper cites an unresolved cited work.

Minimal surfaces: A Lagrangian derivation of first and second variations Unresolved cited work

Reference 32

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:9f941d7216779f9e3d539c8d48602d4687ff120064de43e714947dd53fb80955

Observation 83946694-12d5-42d8-b8dd-a86763508529 · outbound

This paper cites an unresolved cited work.

Minimal surfaces: A Lagrangian derivation of first and second variations Unresolved cited work

Reference 33

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:ffa7dee8f013d49512292a176aad1d2aefbf344d3a0aaaa234cad9b411308cd7

Observation 58270aca-fd25-45cb-8e7e-e6fdfb36a7c2 · outbound

This paper cites an unresolved cited work.

Minimal surfaces: A Lagrangian derivation of first and second variations Unresolved cited work

Reference 34

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:f61b26431649fdbd05ca5757189a1d83d4e3c578ec40d6a98a741c5925bfc1a1

Observation d4e37664-9c0a-49cb-a138-02342c4926c2 · outbound

This paper cites Shiffman.

Minimal surfaces: A Lagrangian derivation of first and second variations Shiffman

Reference 35

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:f57aa2a2c16767574abfb9841028b7d44b7dfc03378d4a7b049da90f5b47bdb9

Observation 6bed3fc3-9e87-4d81-880b-47424ce49aac · outbound

This paper cites an unresolved cited work.

Minimal surfaces: A Lagrangian derivation of first and second variations Unresolved cited work

Reference 36

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:12578243c0fbc85be55ef1b31fb65a18a7c40c8106ec3f8a96273032f03f90be

Observation 5662e9d0-0bfe-48d8-aeaf-fde8a083306b · outbound

This paper cites an unresolved cited work.

Minimal surfaces: A Lagrangian derivation of first and second variations Unresolved cited work

Reference 37

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:4752b39b087fc75046fe798c6e83bae885b40a1ea9a3a651e6b50f0e00267198

Observation bdf2b2fd-1cb3-4577-a5b2-19f2814911fa · outbound

This paper cites an unresolved cited work.

Minimal surfaces: A Lagrangian derivation of first and second variations Unresolved cited work

Reference 38

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:99a3120dd677e0dc3f4f4dd43f4aacc77396056c958413103758a84c382f5615

Observation 7af66c3a-13b3-4641-ae2c-42be2eed090e · outbound

This paper cites Untersuchung uber dir flachen, deren mittler krummung uberall gleich null ist.

Minimal surfaces: A Lagrangian derivation of first and second variations Untersuchung uber dir flachen, deren mittler krummung uberall gleich null ist

Reference 39

Resolution
unresolved
no resolver link, observed 2026-06-27T23:47:01.189217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T23:47:01.189217Z digest=sha256:74859ac9bc397ccfdb628354987971c2b67b54629481f117d838d97f1acb0b81

Pith citing papers

No inbound Pith citation observations are available.