Pith Number

pith:B4QXBLRH

pith:2016:B4QXBLRHBASEQOUNS2T6ILGE7V

not attested not anchored not stored refs pending

Geometric approaches to the thermodynamics of black holes

Christine Gruber, Hernando Quevedo, Orlando Luongo

arxiv:1603.09443 v2 · 2016-03-31 · 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{B4QXBLRHBASEQOUNS2T6ILGE7V}

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	2026-05-18T01:13:17.488953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f2170ae270824483a8d96a7e42cc4fd50e8f373456be919e25bb031efe28d50

Aliases

arxiv: 1603.09443 · arxiv_version: 1603.09443v2 · doi: 10.48550/arxiv.1603.09443 · pith_short_12: B4QXBLRHBASE · pith_short_16: B4QXBLRHBASEQOUN · pith_short_8: B4QXBLRH

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/B4QXBLRHBASEQOUNS2T6ILGE7V \
  | 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: 0f2170ae270824483a8d96a7e42cc4fd50e8f373456be919e25bb031efe28d50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38b8f8bc75961d72ae3507a712b4a7af805e7a56da52aabf2439998e6e2b6cb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-03-31T02:44:41Z",
    "title_canon_sha256": "32a7938c7f67b6ca97f3097d61f885dba71cc8e08d6b7a9f15b8d5adb4c6efe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09443",
    "kind": "arxiv",
    "version": 2
  }
}