Pith Number

pith:5MFRP2AJ

pith:2015:5MFRP2AJZUF5SS4QOMS35WESY7

not attested not anchored not stored refs pending

Misner-Sharp Mass and the Unified First Law in Massive Gravity

Hongsheng Zhang, Ya-Peng Hu

arxiv:1502.00069 v2 · 2015-01-31 · hep-th · 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{5MFRP2AJZUF5SS4QOMS35WESY7}

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	2026-05-18T01:00:40.738578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb0b17e809cd0bd94b907325bed892c7d182399873edf8396b4aa75a2eee7098

Aliases

arxiv: 1502.00069 · arxiv_version: 1502.00069v2 · doi: 10.48550/arxiv.1502.00069 · pith_short_12: 5MFRP2AJZUF5 · pith_short_16: 5MFRP2AJZUF5SS4Q · pith_short_8: 5MFRP2AJ

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/5MFRP2AJZUF5SS4QOMS35WESY7 \
  | 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: eb0b17e809cd0bd94b907325bed892c7d182399873edf8396b4aa75a2eee7098

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deaaf1744af84e88c876afcc91154a1cc100e0fe22445599aed31c92707e31da",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-01-31T04:59:35Z",
    "title_canon_sha256": "149f000c11648e7d4d9021d89e1aa6af9dc993c9291cec1912f6cae5b4a8cf25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00069",
    "kind": "arxiv",
    "version": 2
  }
}