Paper Citation Record · LEDGER

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients

As of 16 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:1908.06947.

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

pith.paper-citation-record.v1
1908.06947 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:40:07.465586Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

46 of 46 outbound references displayed

verified exact5
verified fuzzy18
unresolved20
parse uncertain2
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c808c4b1-c404-43dd-aa0e-7d00e5442d8d · outbound

This paper cites Löwdin, Advances in Chemical Physics 2, 207 (1958).

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Löwdin, Advances in Chemical Physics 2, 207 (1958)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:08.596074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 379ef35f-fece-4294-b92e-6ab15a50c16c · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 2

Resolution: verified exact; doi, observed 2026-08-14T12:40:07.624842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8fb809f1-bb40-453c-9ce6-6aa5e48f9662 · outbound

This paper cites Pauling, The Nature of the Chemical Bond (Cornell University Press, 1948).

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Pauling, The Nature of the Chemical Bond (Cornell University Press, 1948)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:08.566070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0ead782a-a930-467f-910b-134b5f3eb507 · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:40:08.526134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 65134f7b-20a2-4c4a-aee1-0f97ba3d948c · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:40:08.502327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 41aa9dd2-4b5d-4444-ab23-2744de8e4652 · outbound

This paper cites Räsänen, A.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Räsänen, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:08.473459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 215cf84e-03f8-4d34-8509-fe2a477d0ccd · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 7

Resolution: verified exact; doi, observed 2026-08-14T12:40:07.603218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f82ae6ce-d95a-468e-8a3d-83d0487471a0 · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-14T12:40:07.211684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aec64cb7-2edd-45c5-8936-41bf836bf7f5 · outbound

This paper cites Savin, O.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Savin, O

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:08.439257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ecb393a9-df3a-4d52-974e-4ca05eee42b3 · outbound

This paper cites Silvi and A.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Silvi and A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:08.416166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 39d9b2ee-250c-4de2-9152-0947c03975a5 · outbound

This paper cites Hohenberg and W.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Hohenberg and W

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-14T12:40:07.233296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2d86a2bb-8fb0-4b8a-9452-1a7e5fb623ac · outbound

This paper cites Kohn and L.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Kohn and L

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-14T12:40:07.239665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b0bc293-f51a-4e65-a69e-fe327ec1e2be · outbound

This paper cites Fuster, A.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Fuster, A

Reference 13

Resolution: verified exact; doi, observed 2026-08-14T12:40:07.568508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f81ab704-5e1b-4b0e-abd6-b1f28250517c · outbound

This paper cites Savin, R.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Savin, R

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:08.346798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f8ec9ca5-a327-4ca6-876e-a5bc97131cd0 · outbound

This paper cites Gatti, Zeitschrift für Kristallographie-Crystalline Ma- terials 220, 399 (2005).

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Gatti, Zeitschrift für Kristallographie-Crystalline Ma- terials 220, 399 (2005)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:08.310060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 82dbac39-df1b-4376-9c19-7a955837c063 · outbound

This paper cites Kohout, International Journal of Quantum Chemistry 97, 651 (2004).

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Kohout, International Journal of Quantum Chemistry 97, 651 (2004)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:08.283520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7e088eba-3705-4893-8387-8654544b4737 · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:40:08.252808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1c394414-20d0-49b1-b49e-eabe36f7dfcb · outbound

This paper cites Kresse and J.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Kresse and J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-14T12:40:07.276267Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14d0b91e-8f95-4d4c-9816-8d6d0b23071c · outbound

This paper cites Kresse and J.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Kresse and J

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-14T12:40:07.283129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9645ce21-a98a-4eeb-9a2b-93e097c9d343 · outbound

This paper cites Kresse and D.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Kresse and D

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T12:40:07.290667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 975b9f53-2b77-4de0-bbd6-94fd1e99bc75 · outbound

This paper cites Bader, Atoms in Molecules: A Quantum Theory , In- ternational Ser.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Bader, Atoms in Molecules: A Quantum Theory , In- ternational Ser

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:08.169095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 037b9cda-374b-4140-9e91-cb55c3fd7314 · outbound

This paper cites Armiento and A.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Armiento and A

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:08.140840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4a3ab008-e031-4d7f-b85a-4983852b2859 · outbound

This paper cites Armiento and A.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Armiento and A

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:08.109423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 773a98c1-8026-42d0-8c0e-5aec1261e43f · outbound

This paper cites Armiento and A.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Armiento and A

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:08.087796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b59abc1e-40fb-4dc1-9364-6d0dd2bead08 · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:40:08.063758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f250003e-2731-43dd-8a19-92f35559634a · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:40:08.040049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1aa98b86-03c7-40b1-8331-599e51756117 · outbound

This paper cites Lindmaa, A.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Lindmaa, A

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:08.017533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4843ee2a-36cf-4612-9d91-50497ea5575b · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 28

Resolution: verified exact; doi, observed 2026-08-14T12:40:07.545633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c4a6de05-7ac5-402d-a350-754f9c839130 · outbound

This paper cites Kohn and A.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Kohn and A

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:07.991179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation baec986e-d004-45e1-bb65-29b38ba85125 · outbound

This paper cites Fermi, 6, 602 (1927).

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Fermi, 6, 602 (1927)

Reference 30

Resolution: parse uncertain; raw_fallback, observed 2026-08-14T12:40:07.965220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4653f860-c735-4a00-978b-a2c261316060 · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:40:07.938699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 71bb8e61-5872-4f50-b9ff-62cbde55eb8e · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:40:07.914614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 554d0cf9-a4f6-446a-a4a9-ed6c901334b5 · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:40:07.883276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4172ae16-9cff-49fd-bf69-cad548565b19 · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:40:07.860596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dcfe287d-a0b4-4657-9f4b-806809736587 · outbound

This paper cites Abramowitz and I.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Abramowitz and I

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:07.832252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a8878fa9-08f6-42ff-8824-978ef56f726a · outbound

This paper cites The complete computational details are given in Appendix A.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients The complete computational details are given in Appendix A

Reference 36

Resolution: malformed identifier; raw_fallback, observed 2026-08-14T12:40:08.650779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 61d1a295-050a-419e-a7b4-3329e55d22c3 · outbound

This paper cites Perdew and Y.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Perdew and Y

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:07.777524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4da41267-14d9-4188-b573-99703567d273 · outbound

This paper cites The Elk FP-LAPW code,.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients The Elk FP-LAPW code,

Reference 38

Resolution: parse uncertain; raw_fallback, observed 2026-08-14T12:40:07.801157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2028d6c1-6761-49d1-9ba9-d828e049aef3 · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:40:07.753081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7a01badb-64a1-4f64-a742-e4e0594d2854 · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 40

Resolution: verified exact; doi, observed 2026-08-14T12:40:07.522611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6521faa7-878a-4a42-8d4b-69a2fcccdb84 · outbound

This paper cites The basis set cut- oﬀ (deﬁned as the maximum length of the vectorsG+ k) is set to7.0 bohr−1.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients The basis set cut- oﬀ (deﬁned as the maximum length of the vectorsG+ k) is set to7.0 bohr−1

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:08.624404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ddfdc74a-1b3b-46c1-b66d-c5391c7d9810 · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:40:07.728693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e9361157-a7e0-4ddf-97cc-e68681296a61 · outbound

This paper cites Singh, Planewaves, Pseudopotentials and the LAPW Method (Kluwer Academic, Boston, 1994).

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Singh, Planewaves, Pseudopotentials and the LAPW Method (Kluwer Academic, Boston, 1994)

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:40:07.705057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation faad269d-1256-47bd-b08a-c7cadb4b1325 · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:40:07.685092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 74ca1682-f511-4b5e-bb2c-ae478ebbf5cc · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-14T12:40:07.454074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68ccbe82-2989-48cd-8448-5c01a05fc112 · outbound

This paper cites an unresolved cited work.

Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:40:07.651256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.