Pith Number

pith:FUH5253R

pith:2006:FUH5253RDE7MZ6YUGZ2LD5WIVO

not attested not anchored not stored refs pending

Geometric Hamilton-Jacobi Theory

E. Martinez, G. Marmo, J.F. Carinena, M. Munoz-Lecanda, N.Roman-Roy, X. Gracia

arxiv:math-ph/0604063 v1 · 2006-04-26 · math-ph · math.DG · 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{FUH5253RDE7MZ6YUGZ2LD5WIVO}

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	2026-05-18T04:36:19.751745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d0fdd7771193eccfb143674b1f6c8ab890ebb2da308799f24d79d337d1cb311

Aliases

arxiv: math-ph/0604063 · arxiv_version: math-ph/0604063v1 · doi: 10.48550/arxiv.math-ph/0604063 · pith_short_12: FUH5253RDE7M · pith_short_16: FUH5253RDE7MZ6YU · pith_short_8: FUH5253R

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/FUH5253RDE7MZ6YUGZ2LD5WIVO \
  | 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: 2d0fdd7771193eccfb143674b1f6c8ab890ebb2da308799f24d79d337d1cb311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bff6d46b85e195a0f2f548ac1737798fbeba9fe2c026e2a8438b36f24a3265e",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-04-26T11:52:40Z",
    "title_canon_sha256": "1490ca672ce67c8d04dd2c0f57769e4a1f002c22faba318b6aea7e960cd0e2a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0604063",
    "kind": "arxiv",
    "version": 1
  }
}