Pith Number

pith:D64CZTOB

pith:2013:D64CZTOB67ACRPX6VZYLUW7QOH

not attested not anchored not stored refs pending

The calculation of the thermodynamic quantities of the Bardeen black hole

Hongbo Cheng, Jingyun Man

arxiv:1304.5686 v1 · 2013-04-21 · 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{D64CZTOB67ACRPX6VZYLUW7QOH}

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	2026-05-18T01:50:24.087727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fb82ccdc1f7c028befeae70ba5bf071e98a98a6af997f11611daa94a638b972

Aliases

arxiv: 1304.5686 · arxiv_version: 1304.5686v1 · doi: 10.48550/arxiv.1304.5686 · pith_short_12: D64CZTOB67AC · pith_short_16: D64CZTOB67ACRPX6 · pith_short_8: D64CZTOB

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/D64CZTOB67ACRPX6VZYLUW7QOH \
  | 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: 1fb82ccdc1f7c028befeae70ba5bf071e98a98a6af997f11611daa94a638b972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "310f9d20d5cf9362aea21092d06f7b649a9bdf460c7fa65e0ca721f1e12f2486",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-04-21T03:38:46Z",
    "title_canon_sha256": "252d040e5ed46895c5c00a4be1999029fe73e9abb9cc174783bb386f53ae58d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5686",
    "kind": "arxiv",
    "version": 1
  }
}