Pith Number

pith:L3ZDAWFD

pith:2015:L3ZDAWFDQAX7O6C56CYCLNJZXX

not attested not anchored not stored refs pending

P-V Criticality in Quasitopological Gravity

Robert B. Mann, Robie A. Hennigar, Wilson G. Brenna

arxiv:1505.05517 v2 · 2015-05-20 · 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{L3ZDAWFDQAX7O6C56CYCLNJZXX}

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

5 papers in Pith

Black hole chemistry: thermodynamics with Lambda

$g_{tt}g_{rr} =-1$ black hole thermodynamics in extended quasi-topological gravity

Topology of black hole thermodynamics: A brief review

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

Thermodynamics and orbital structure of anti-de Sitter black holes in Palatini-inspired nonlinear electrodynamics

Receipt and verification

First computed	2026-05-18T01:35:47.690364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ef23058a3802ff7785df0b025b539bdc64a8f78798fb7699a0f7e36aa2ee515

Aliases

arxiv: 1505.05517 · arxiv_version: 1505.05517v2 · doi: 10.48550/arxiv.1505.05517 · pith_short_12: L3ZDAWFDQAX7 · pith_short_16: L3ZDAWFDQAX7O6C5 · pith_short_8: L3ZDAWFD

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/L3ZDAWFDQAX7O6C56CYCLNJZXX \
  | 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: 5ef23058a3802ff7785df0b025b539bdc64a8f78798fb7699a0f7e36aa2ee515

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb40e3c1e827ab3fc7ce67cf5663189ef8fb289bad558539d260c36c867b2d7a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-05-20T20:01:28Z",
    "title_canon_sha256": "1b4ee43774f80ff3ce1af86b3c5284f629c1a4c1b83be7d776748ec68d46c2e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05517",
    "kind": "arxiv",
    "version": 2
  }
}