Pith Number

pith:W73TT3EK

pith:2022:W73TT3EKMFHRGDTAYANRIHPHJU

not attested not anchored not stored refs pending

A variational method for functionals depending on eigenvalues

Romain Petrides

arxiv:2211.15632 v2 · 2022-11-28 · math.AP · math.DG · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W73TT3EKMFHRGDTAYANRIHPHJU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Eigenvalue optimization via a first-variation formula

Receipt and verification

First computed	2026-07-05T09:18:18.037819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7f739ec8a614f130e60c01b141de74d2df8a4799c36dc00ad0a175ca7517a65

Aliases

arxiv: 2211.15632 · arxiv_version: 2211.15632v2 · doi: 10.48550/arxiv.2211.15632 · pith_short_12: W73TT3EKMFHR · pith_short_16: W73TT3EKMFHRGDTA · pith_short_8: W73TT3EK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/W73TT3EKMFHRGDTAYANRIHPHJU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b7f739ec8a614f130e60c01b141de74d2df8a4799c36dc00ad0a175ca7517a65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a60d64fb7c63f8d6d982a4f1b3220fc7de768cd12deae1cb8266110aa23687f5",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-11-28T18:35:19Z",
    "title_canon_sha256": "f8cd612bdafe3660fb161622d2de894fbc990547683b81e01bbe72a234caed63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.15632",
    "kind": "arxiv",
    "version": 2
  }
}