Pith Number

pith:22Z4ZIEE

pith:2025:22Z4ZIEEOOQLOICYF7H2JMDN7D

not attested not anchored not stored refs pending

4D Palatini-Cartan Gravity in Hamiltonian Form

Alberto S. Cattaneo, Giovanni Canepa

arxiv:2507.02431 v2 · 2025-07-03 · gr-qc · hep-th · 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{22Z4ZIEEOOQLOICYF7H2JMDN7D}

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

Geometric formulation for Palatini-Cartan gravity

Receipt and verification

First computed	2026-07-05T11:44:08.288639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6b3cca08473a0b720582fcfa4b06df8c440a05dc3b3cc2c6249f5eb21f53a96

Aliases

arxiv: 2507.02431 · arxiv_version: 2507.02431v2 · doi: 10.48550/arxiv.2507.02431 · pith_short_12: 22Z4ZIEEOOQL · pith_short_16: 22Z4ZIEEOOQLOICY · pith_short_8: 22Z4ZIEE

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/22Z4ZIEEOOQLOICYF7H2JMDN7D \
  | 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: d6b3cca08473a0b720582fcfa4b06df8c440a05dc3b3cc2c6249f5eb21f53a96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19416bbf9a99e1c1590feabc830be51604118ca585f7069e9ce008dce64d58b8",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-03T08:40:19Z",
    "title_canon_sha256": "824feb969757ea858093f5f58ab30721383d647724a81729c9884fdea1cbdcc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.02431",
    "kind": "arxiv",
    "version": 2
  }
}