Pith Number

pith:GGBJCSZK

pith:2016:GGBJCSZKIREIR4Y7Q56LWOFW23

not attested not anchored not stored refs pending

Critical phenomena in the extended phase space of Kerr-Newman-AdS black holes

Peng Cheng, Shao-Wen Wei, Yu-Xiao Liu

arxiv:1603.08694 v1 · 2016-03-29 · 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{GGBJCSZKIREIR4Y7Q56LWOFW23}

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	2026-05-18T01:10:50.105642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3182914b2a444888f31f877cbb38b6d6c92bdd853ddb7679a87279256ad2353d

Aliases

arxiv: 1603.08694 · arxiv_version: 1603.08694v1 · doi: 10.48550/arxiv.1603.08694 · pith_short_12: GGBJCSZKIREI · pith_short_16: GGBJCSZKIREIR4Y7 · pith_short_8: GGBJCSZK

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/GGBJCSZKIREIR4Y7Q56LWOFW23 \
  | 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: 3182914b2a444888f31f877cbb38b6d6c92bdd853ddb7679a87279256ad2353d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7824b9d5f0f073455c3695e5ff8320d476eb0da476c4de9d683170447357797c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-03-29T09:31:19Z",
    "title_canon_sha256": "0e97963a8bbe94352539d88e858040da6f037cb11b6262d162027f19ae5bb10f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08694",
    "kind": "arxiv",
    "version": 1
  }
}