Pith Number

pith:JQFUD4FF

pith:2016:JQFUD4FFZEJZ5ZK63JNSVYCBY7

not attested not anchored not stored refs pending

Geometrothermodynamics of black holes in Lorentz non-invariant massive gravity

Alberto Sanchez

arxiv:1603.02259 v1 · 2016-03-05 · 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{JQFUD4FFZEJZ5ZK63JNSVYCBY7}

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	2026-05-18T01:10:24.601350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c0b41f0a5c9139ee55eda5b2ae041c7cc6a7a2b61e528c4994efc744cd7bd50

Aliases

arxiv: 1603.02259 · arxiv_version: 1603.02259v1 · doi: 10.48550/arxiv.1603.02259 · pith_short_12: JQFUD4FFZEJZ · pith_short_16: JQFUD4FFZEJZ5ZK6 · pith_short_8: JQFUD4FF

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/JQFUD4FFZEJZ5ZK63JNSVYCBY7 \
  | 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: 4c0b41f0a5c9139ee55eda5b2ae041c7cc6a7a2b61e528c4994efc744cd7bd50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdbdcf1e350984810ce3fe572874bf7304c3c9a75f8ccedfb0c39daca23a2177",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-03-05T17:40:41Z",
    "title_canon_sha256": "8a1c587d4f48d006fa94b59281cbc20091c95300090b6c8fe0bb8c7f355c7c09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02259",
    "kind": "arxiv",
    "version": 1
  }
}