Pith Number

pith:QKMTXSCJ

pith:2015:QKMTXSCJGFQIZPYZJJ67ELYKPN

not attested not anchored not stored refs pending

P-V criticality in the extended phase space of black holes in massive gravity

Jianfei Xu, Li-Ming Cao, Ya-Peng Hu

arxiv:1506.03578 v2 · 2015-06-11 · 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{QKMTXSCJGFQIZPYZJJ67ELYKPN}

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

2 papers in Pith

Black hole chemistry: thermodynamics with Lambda

Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics

Receipt and verification

First computed	2026-05-18T01:37:13.027453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82993bc84931608cbf194a7df22f0a7b40c74e94743047658fa6991eafc2558b

Aliases

arxiv: 1506.03578 · arxiv_version: 1506.03578v2 · doi: 10.48550/arxiv.1506.03578 · pith_short_12: QKMTXSCJGFQI · pith_short_16: QKMTXSCJGFQIZPYZ · pith_short_8: QKMTXSCJ

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/QKMTXSCJGFQIZPYZJJ67ELYKPN \
  | 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: 82993bc84931608cbf194a7df22f0a7b40c74e94743047658fa6991eafc2558b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70b0051e0d0c507e92276bd423b994ed9e2d4c8e3e2eb8c06f1e3c5bfe91d6ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-06-11T07:58:48Z",
    "title_canon_sha256": "43993e30ef8c7ae9a3a513d4508dabed07296eaaee84af6f14b4386ba11c210a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03578",
    "kind": "arxiv",
    "version": 2
  }
}