Pith Number

pith:XDZCO7U3

pith:2007:XDZCO7U325H7CBHX5US224GFXB

not attested not anchored not stored refs pending

Differential Forms on Riemannian (Lorentzian) and Riemann-Cartan Structures and Some Applications to Physics

Waldyr A. Rodrigues Jr

arxiv:0712.3067 v6 · 2007-12-19 · 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{XDZCO7U325H7CBHX5US224GFXB}

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.

Cited by

1 paper in Pith

Nontrivial constitutive laws and unified structures in constrained BF theory

Receipt and verification

First computed	2026-07-04T15:33:20.112483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8f2277e9bd74ff104f7ed25ad70c5b84648402c28ea8add0b8b6810addc4a57

Aliases

arxiv: 0712.3067 · arxiv_version: 0712.3067v6 · doi: 10.48550/arxiv.0712.3067 · pith_short_12: XDZCO7U325H7 · pith_short_16: XDZCO7U325H7CBHX · pith_short_8: XDZCO7U3

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/XDZCO7U325H7CBHX5US224GFXB \
  | 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: b8f2277e9bd74ff104f7ed25ad70c5b84648402c28ea8add0b8b6810addc4a57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e567e576138e535d0d1f96f2466eea4a54eaa9e129ff70f19ac2550215f4e1c1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2007-12-19T16:32:42Z",
    "title_canon_sha256": "a23211cf8c25034d870f0b6427537f613271176ada19e55c9b4dc24449780d4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3067",
    "kind": "arxiv",
    "version": 6
  }
}