Pith Number

pith:OHSJGGVG

pith:2019:OHSJGGVG3D5SBJRY6NHBFG7QG3

not attested not anchored not stored refs pending

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

Rados{\l}aw Antoni Kycia

arxiv:1908.02349 v3 · 2019-08-06 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHSJGGVG3D5SBJRY6NHBFG7QG3}

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.

Receipt and verification

First computed	2026-07-05T01:17:57.412349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71e4931aa6d8fb20a638f34e129bf036d9d472e1917e0e66bf49a9b5315d43ff

Aliases

arxiv: 1908.02349 · arxiv_version: 1908.02349v3 · doi: 10.48550/arxiv.1908.02349 · pith_short_12: OHSJGGVG3D5S · pith_short_16: OHSJGGVG3D5SBJRY · pith_short_8: OHSJGGVG

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/OHSJGGVG3D5SBJRY6NHBFG7QG3 \
  | 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: 71e4931aa6d8fb20a638f34e129bf036d9d472e1917e0e66bf49a9b5315d43ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81929560918215d13d6e94731abf94749cbf0ddb87631d0221dee530a93cbf6a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-06T20:13:56Z",
    "title_canon_sha256": "34be3c5556395071362020f74b4dc24c4dad39b85262f1b112cfe7ee32ac8c07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02349",
    "kind": "arxiv",
    "version": 3
  }
}