Pith Number

pith:ADTIFU6J

pith:1999:ADTIFU6JGB3KV6EBVL7JW3YCZP

not attested not anchored not stored refs pending

Remarks on Nambu-Poisson and Nambu-Jacobi brackets

Giuseppe Marmo, Janusz Grabowski

arxiv:math/9902128 v3 · 1999-02-23 · 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{ADTIFU6JGB3KV6EBVL7JW3YCZP}

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	2026-05-18T02:35:38.383796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00e682d3c93076aaf881aafe9b6f02cbc3b023b6212cf83b1f0d049120f5cd78

Aliases

arxiv: math/9902128 · arxiv_version: math/9902128v3 · doi: 10.48550/arxiv.math/9902128 · pith_short_12: ADTIFU6JGB3K · pith_short_16: ADTIFU6JGB3KV6EB · pith_short_8: ADTIFU6J

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/ADTIFU6JGB3KV6EBVL7JW3YCZP \
  | 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: 00e682d3c93076aaf881aafe9b6f02cbc3b023b6212cf83b1f0d049120f5cd78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f9fff7e2e42bcade17c772b890e0cb6324851612bb8007bfd9f0d3ec3186b3f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1999-02-23T09:21:36Z",
    "title_canon_sha256": "6983a981fa78d56353c27da31898785c1d18fe8ada6f5632a2d976bea3e100c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9902128",
    "kind": "arxiv",
    "version": 3
  }
}