Pith Number

pith:FMGCUIV2

pith:2016:FMGCUIV2JQVFMA3ZNHW6Q3J3AP

not attested not anchored not stored refs pending

Phase transition and entropy inequality of noncommutative black holes in a new extended phase space

Yan-Gang Miao, Zhen-Ming Xu

arxiv:1604.03229 v3 · 2016-04-12 · 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{FMGCUIV2JQVFMA3ZNHW6Q3J3AP}

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

Thermodynamics and phase transitions of $\kappa$-deformed Schwarzschild-AdS black holes

Receipt and verification

First computed	2026-05-18T00:48:01.304390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b0c2a22ba4c2a56037969ede86d3b03d06caa995e6aa030bb561d347ae907f8

Aliases

arxiv: 1604.03229 · arxiv_version: 1604.03229v3 · doi: 10.48550/arxiv.1604.03229 · pith_short_12: FMGCUIV2JQVF · pith_short_16: FMGCUIV2JQVFMA3Z · pith_short_8: FMGCUIV2

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/FMGCUIV2JQVFMA3ZNHW6Q3J3AP \
  | 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: 2b0c2a22ba4c2a56037969ede86d3b03d06caa995e6aa030bb561d347ae907f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "739750124b08a42497c3970d04711b8ae7c70bf61c49d35aa49e238d344a94f1",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-04-12T03:07:05Z",
    "title_canon_sha256": "d98b52d2f3a69b08fe5faf4fc900f3dee8d03ec123b2679abbd50fa0d7df5b26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03229",
    "kind": "arxiv",
    "version": 3
  }
}