Pith Number

pith:ULAUXHB6

pith:2015:ULAUXHB65VMH2QURJ4FQ7XGBI4

not attested not anchored not stored refs pending

Extended phase space thermodynamics and $P-V$ criticality: Brans-Dicke-Born-Infeld vs Einstein-Born-Infeld-dilaton black holes

M. S. Talezadeh, R. Moradi, S. H. Hendi, Z. Armanfard

arxiv:1511.02761 v5 · 2015-10-23 · 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{ULAUXHB65VMH2QURJ4FQ7XGBI4}

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.

Receipt and verification

First computed	2026-05-18T01:11:41.253843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2c14b9c3eed587d42914f0b0fdcc147121a344bfe7f8bd78772e85b52830a97

Aliases

arxiv: 1511.02761 · arxiv_version: 1511.02761v5 · doi: 10.48550/arxiv.1511.02761 · pith_short_12: ULAUXHB65VMH · pith_short_16: ULAUXHB65VMH2QUR · pith_short_8: ULAUXHB6

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/ULAUXHB65VMH2QURJ4FQ7XGBI4 \
  | 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: a2c14b9c3eed587d42914f0b0fdcc147121a344bfe7f8bd78772e85b52830a97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a9db4b7af834e677fac052f030405213d15f3cd95eb61a558f7db44ac606e08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-10-23T17:41:40Z",
    "title_canon_sha256": "b7f619557ea593fe8bd33afa793c317df76d40330d02e847480d1d5777d25c98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02761",
    "kind": "arxiv",
    "version": 5
  }
}