Pith Number

pith:2T3MG34B

pith:2013:2T3MG34BE7KJSYG6YZTXZ25RXV

not attested not anchored not stored refs pending

$P-V$ criticality of AdS black hole in $f(R)$ gravity

Changqing Liu, Songbai Chen, Xiaofang Liu

arxiv:1301.3234 v2 · 2013-01-15 · 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{2T3MG34BE7KJSYG6YZTXZ25RXV}

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	2026-05-18T01:52:12.214388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4f6c36f8127d49960dec6677cebb1bd785d0fc8b38a7d3896ad3f8533265c63

Aliases

arxiv: 1301.3234 · arxiv_version: 1301.3234v2 · doi: 10.48550/arxiv.1301.3234 · pith_short_12: 2T3MG34BE7KJ · pith_short_16: 2T3MG34BE7KJSYG6 · pith_short_8: 2T3MG34B

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/2T3MG34BE7KJSYG6YZTXZ25RXV \
  | 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: d4f6c36f8127d49960dec6677cebb1bd785d0fc8b38a7d3896ad3f8533265c63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92c0932d33be045cc219fd7ad94c73e8ea61b21d3edcf772c17a3a9da1831678",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-01-15T06:33:02Z",
    "title_canon_sha256": "8ca9df6d77995ea5c8c900fa2575b95d51b1695263a9de0f701433ff5575ec19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3234",
    "kind": "arxiv",
    "version": 2
  }
}