Pith Number

pith:MDJYKDOZ

pith:2015:MDJYKDOZKTN4QKY3RKG634Y4TG

not attested not anchored not stored refs pending

Entropy in the interior of a black hole and thermodynamics

Baocheng Zhang

arxiv:1510.02182 v1 · 2015-10-08 · 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{MDJYKDOZKTN4QKY3RKG634Y4TG}

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

1 paper in Pith

Black hole chemistry: thermodynamics with Lambda

Receipt and verification

First computed	2026-05-18T01:30:44.532049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60d3850dd954dbc82b1b8a8dedf31c9986ad3410e75b6d1c1a500beba6374cbc

Aliases

arxiv: 1510.02182 · arxiv_version: 1510.02182v1 · doi: 10.48550/arxiv.1510.02182 · pith_short_12: MDJYKDOZKTN4 · pith_short_16: MDJYKDOZKTN4QKY3 · pith_short_8: MDJYKDOZ

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/MDJYKDOZKTN4QKY3RKG634Y4TG \
  | 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: 60d3850dd954dbc82b1b8a8dedf31c9986ad3410e75b6d1c1a500beba6374cbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f716ab9cfa09acecece260b7c9348d67806a6ee659e487587fa43f8f73bdff56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-10-08T02:18:06Z",
    "title_canon_sha256": "cddf96b278b71505f1275346fa6115087619842c177d4c40d8e20a317ff9b7ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02182",
    "kind": "arxiv",
    "version": 1
  }
}