Pith Number

pith:OPK43C3P

pith:2011:OPK43C3P23CVDZY3G7E4HW2KUM

not attested not anchored not stored refs pending

Hamiltonian formulation for the theory of gravity and canonical transformations in extended phase space

T. P. Shestakova

arxiv:1102.0097 v1 · 2011-02-01 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPK43C3P23CVDZY3G7E4HW2KUM}

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	2026-05-18T04:27:26.345882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73d5cd8b6fd6c551e71b37c9c3db4aa3365b2e7a5298bbd8d8bcea8a2e003845

Aliases

arxiv: 1102.0097 · arxiv_version: 1102.0097v1 · doi: 10.48550/arxiv.1102.0097 · pith_short_12: OPK43C3P23CV · pith_short_16: OPK43C3P23CVDZY3 · pith_short_8: OPK43C3P

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/OPK43C3P23CVDZY3G7E4HW2KUM \
  | 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: 73d5cd8b6fd6c551e71b37c9c3db4aa3365b2e7a5298bbd8d8bcea8a2e003845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4b9add8a0e7d3317a9a110e41be6714afb879357a31f51307b86ccc07591ea8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-02-01T08:35:34Z",
    "title_canon_sha256": "cc86c4230ef2d53505fd619a058491f415316d7901508ebc3a2059909368687a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0097",
    "kind": "arxiv",
    "version": 1
  }
}