Pith Number

pith:NW45RMPP

pith:1999:NW45RMPPRGQKHY6EHKHTF7HC7U

not attested not anchored not stored refs pending

Multivector Field Formulation of Hamiltonian Field Theories: Equations and Symmetries

A. Echeverr\'ia-Enr\'iquez, M.C. Mu\~noz-Lecanda, N. Rom\'an-Roy

arxiv:math-ph/9907007 v2 · 1999-07-07 · math-ph · math.MP · physics.class-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NW45RMPPRGQKHY6EHKHTF7HC7U}

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	2026-05-18T01:17:26.505507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6db9d8b1ef89a0a3e3c43a8f32fce2fd1cf2552c123424fd00344e49c96ea953

Aliases

arxiv: math-ph/9907007 · arxiv_version: math-ph/9907007v2 · doi: 10.48550/arxiv.math-ph/9907007 · pith_short_12: NW45RMPPRGQK · pith_short_16: NW45RMPPRGQKHY6E · pith_short_8: NW45RMPP

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/NW45RMPPRGQKHY6EHKHTF7HC7U \
  | 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: 6db9d8b1ef89a0a3e3c43a8f32fce2fd1cf2552c123424fd00344e49c96ea953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0837e5de250cd4bf3fe6c49abcbfd0fc9fb71d702fe02141ebe72f8ec4f956a2",
    "cross_cats_sorted": [
      "math.MP",
      "physics.class-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1999-07-07T12:41:06Z",
    "title_canon_sha256": "e2c90ab0a960cc43e1c5ec61b081be2d4af9b4a1b8b7b1124325991f03b97969"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9907007",
    "kind": "arxiv",
    "version": 2
  }
}