Pith Number

pith:MQQ5GF5V

pith:2016:MQQ5GF5VSG7X3O6JI6D7M3PZCK

not attested not anchored not stored refs pending

Phase transition and thermodynamic geometry of $f(R)$ AdS black holes in the grand canonical ensemble

Gu-Qiang Li, Jie-Xiong Mo

arxiv:1605.09121 v2 · 2016-05-30 · 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{MQQ5GF5VSG7X3O6JI6D7M3PZCK}

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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

Charged accelerating black hole in $f(R)$ gravity

Receipt and verification

First computed	2026-05-18T01:12:11.446189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6421d317b591bf7dbbc94787f66df912825fda6b20d7afdda87963c98bb0ff01

Aliases

arxiv: 1605.09121 · arxiv_version: 1605.09121v2 · doi: 10.48550/arxiv.1605.09121 · pith_short_12: MQQ5GF5VSG7X · pith_short_16: MQQ5GF5VSG7X3O6J · pith_short_8: MQQ5GF5V

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/MQQ5GF5VSG7X3O6JI6D7M3PZCK \
  | 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: 6421d317b591bf7dbbc94787f66df912825fda6b20d7afdda87963c98bb0ff01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "010e58af98161787fb384c44fb88e8660c6313ce1a0dc9f54b8edd2bc62201b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-05-30T07:13:10Z",
    "title_canon_sha256": "92d1c99c44ab9084518dae39b1678589209df6ecad36cb6d3fd74de43ea6e777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09121",
    "kind": "arxiv",
    "version": 2
  }
}