Pith Number

pith:LRFPSPR5

pith:2019:LRFPSPR5NSFVZYB34TTPQOLXFC

not attested not anchored not stored refs pending

On Poincar\'e lemma or Volterra theorem about differential forms and cohomology groups

A. Lesfari

arxiv:1905.13347 v1 · 2019-05-30 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRFPSPR5NSFVZYB34TTPQOLXFC}

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

The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator

Receipt and verification

First computed	2026-05-17T23:44:35.228503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c4af93e3d6c8b5ce03be4e6f8397728b9d10b7a97970dafa067fd863e813e71

Aliases

arxiv: 1905.13347 · arxiv_version: 1905.13347v1 · doi: 10.48550/arxiv.1905.13347 · pith_short_12: LRFPSPR5NSFV · pith_short_16: LRFPSPR5NSFVZYB3 · pith_short_8: LRFPSPR5

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/LRFPSPR5NSFVZYB34TTPQOLXFC \
  | 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: 5c4af93e3d6c8b5ce03be4e6f8397728b9d10b7a97970dafa067fd863e813e71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d4885f8206eaf193f2900d8c489f05c72d0702a16900a0d7ff9d1440220a91c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2019-05-30T23:00:59Z",
    "title_canon_sha256": "44ac69742182e6aa4df406161fbbb319d77935070f611c5f75dfb0cba6e232eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.13347",
    "kind": "arxiv",
    "version": 1
  }
}