Pith Number

pith:O63VFHY4

pith:2003:O63VFHY467PEDUFY5SPCS5QUNV

not attested not anchored not stored refs pending

Tulczyjew's triples and lagrangian submanifolds in classical field theories

A. Santamaria-Merino, D. Martin de Diego, M. de Leon

arxiv:math-ph/0302026 v1 · 2003-02-11 · 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{O63VFHY467PEDUFY5SPCS5QUNV}

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	2026-05-18T01:05:31.845550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77b7529f1cf7de41d0b8ec9e2976146d62f3dd612db7234d3d2d00a2a23e949d

Aliases

arxiv: math-ph/0302026 · arxiv_version: math-ph/0302026v1 · doi: 10.48550/arxiv.math-ph/0302026 · pith_short_12: O63VFHY467PE · pith_short_16: O63VFHY467PEDUFY · pith_short_8: O63VFHY4

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/O63VFHY467PEDUFY5SPCS5QUNV \
  | 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: 77b7529f1cf7de41d0b8ec9e2976146d62f3dd612db7234d3d2d00a2a23e949d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "704d873c2a9f890043f802b4a2ed4fb4d3cd1105b8edbd130d41b6ce0b5481da",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-02-11T16:18:35Z",
    "title_canon_sha256": "97f386eb50c0ee92543b396b6b89cf5d9449a630f89cd570cf028c53cb47eeea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0302026",
    "kind": "arxiv",
    "version": 1
  }
}