Pith Number

pith:5R4CSCH4

pith:1999:5R4CSCH4W5J6D5KEOCQVCUVBA5

not attested not anchored not stored refs pending

On Filippov algebroids and multiplicative Nambu-Poisson structures

Giuseppe Marmo, Janusz Grabowski

arxiv:math/9902127 v1 · 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{5R4CSCH4W5J6D5KEOCQVCUVBA5}

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	2026-05-18T02:35:38.390331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec782908fcb753e1f54470a15152a10754658e1aa7fe0a1ea090453cca5e46b5

Aliases

arxiv: math/9902127 · arxiv_version: math/9902127v1 · doi: 10.48550/arxiv.math/9902127 · pith_short_12: 5R4CSCH4W5J6 · pith_short_16: 5R4CSCH4W5J6D5KE · pith_short_8: 5R4CSCH4

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/5R4CSCH4W5J6D5KEOCQVCUVBA5 \
  | 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: ec782908fcb753e1f54470a15152a10754658e1aa7fe0a1ea090453cca5e46b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8076a90b3cd7788fdd90af90a2e2cd51423058d9c182b3662652291417946074",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1999-02-23T09:07:57Z",
    "title_canon_sha256": "8c0edcb5eb229417e48998fe9aed11ee85611aa73e8d10feb4b519086e30a4f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9902127",
    "kind": "arxiv",
    "version": 1
  }
}