Pith Number

pith:LOTHZBYW

pith:2002:LOTHZBYWJDV2FF4MI5A4B5IFN6

not attested not anchored not stored refs pending

Lagrangian-Hamiltonian unified formalism for field theory

A. Echeverr\'ia-Enr\'iquez, C. L\'opez, J. Mar\'in-Solano, M.C. Mu\~noz-Lecanda, N. Rom\'an-Roy

arxiv:math-ph/0212002 v2 · 2002-12-02 · 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{LOTHZBYWJDV2FF4MI5A4B5IFN6}

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	2026-05-18T01:08:59.996294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ba67c871648eba2978c4741c0f5056f9cb7784b03ee6b900bb3a2a0b5201650

Aliases

arxiv: math-ph/0212002 · arxiv_version: math-ph/0212002v2 · doi: 10.48550/arxiv.math-ph/0212002 · pith_short_12: LOTHZBYWJDV2 · pith_short_16: LOTHZBYWJDV2FF4M · pith_short_8: LOTHZBYW

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/LOTHZBYWJDV2FF4MI5A4B5IFN6 \
  | 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: 5ba67c871648eba2978c4741c0f5056f9cb7784b03ee6b900bb3a2a0b5201650

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df2847c6f1fd05bedf148b80786e12b5469b390f5d5fb3ddc938509f19faab75",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-12-02T12:06:53Z",
    "title_canon_sha256": "cc9c116eaf3b4702e7b93202d94963a433e6a7347e658b6a6eb1bc2513523132"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0212002",
    "kind": "arxiv",
    "version": 2
  }
}