Pith Number

pith:U7PMIF2W

pith:2016:U7PMIF2WC3KNN3KWARI4U7ZZ2A

not attested not anchored not stored refs pending

Equations of Motion and Energy-Momentum 1-Forms for the Coupled Gravitational, Maxwell and Dirac Fields

Samuel Augusto Wainer, Waldyr A. Rodrigues Jr.

arxiv:1601.04878 v2 · 2016-01-19 · 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{U7PMIF2WC3KNN3KWARI4U7ZZ2A}

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	2026-05-18T01:22:13.872185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7dec4175616d4d6ed560451ca7f39d00a984b906629bf3e6996a4f753d1249f

Aliases

arxiv: 1601.04878 · arxiv_version: 1601.04878v2 · doi: 10.48550/arxiv.1601.04878 · pith_short_12: U7PMIF2WC3KN · pith_short_16: U7PMIF2WC3KNN3KW · pith_short_8: U7PMIF2W

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/U7PMIF2WC3KNN3KWARI4U7ZZ2A \
  | 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: a7dec4175616d4d6ed560451ca7f39d00a984b906629bf3e6996a4f753d1249f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59b13d30ff31445598696126f239a250775e32fb845213d47c59bb2a17e08266",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-01-19T11:39:42Z",
    "title_canon_sha256": "c6b662e873ca6c2fd9c67f302a4bb8d6e183cd1c96b0c1b8f9ad1f935020206f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04878",
    "kind": "arxiv",
    "version": 2
  }
}