Pith Number

pith:ZIRFBOGZ

pith:2021:ZIRFBOGZE4WRTGM4TSE2MQANM3

not attested not anchored not stored refs pending

On the thermodynamics of the Hayward black hole

J.R. Villanueva, Mart\'in Molina

arxiv:2101.07917 v1 · 2021-01-20 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIRFBOGZE4WRTGM4TSE2MQANM3}

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

2 papers in Pith

Topological Thermodynamics of Generalized Bardeen Black Hole

Receipt and verification

First computed	2026-07-05T02:47:30.324445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca2250b8d9272d19999c9c89a6400d66ef30a204ab6b8429c0e458715c0e630c

Aliases

arxiv: 2101.07917 · arxiv_version: 2101.07917v1 · doi: 10.48550/arxiv.2101.07917 · pith_short_12: ZIRFBOGZE4WR · pith_short_16: ZIRFBOGZE4WRTGM4 · pith_short_8: ZIRFBOGZ

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/ZIRFBOGZE4WRTGM4TSE2MQANM3 \
  | 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: ca2250b8d9272d19999c9c89a6400d66ef30a204ab6b8429c0e458715c0e630c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "870bdefde7c1c2acbd65d6d86cc7e5fdc64d469fc4923e3cfa1e2607b79b3d3c",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-01-20T01:05:33Z",
    "title_canon_sha256": "4301fb960f49729657e6486e61e01ec59d966a65f1fbe237db82145b905f7e50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.07917",
    "kind": "arxiv",
    "version": 1
  }
}