Pith Number

pith:FANXLZPK

pith:2015:FANXLZPKVYUDHPMCQGBSSHZ4C5

not attested not anchored not stored refs pending

Generalized Ehrenfest's Equations and phase transition in Black Holes

Behrouz Mirza, Fatemeh Oboudiat, Mohammad Bagher Jahani Poshteh

arxiv:1503.02433 v1 · 2015-03-09 · 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{FANXLZPKVYUDHPMCQGBSSHZ4C5}

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	2026-05-18T02:25:19.586181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

281b75e5eaae2833bd828183291f3c175ff6c4fa38b63960dced3b70c6105c8e

Aliases

arxiv: 1503.02433 · arxiv_version: 1503.02433v1 · doi: 10.48550/arxiv.1503.02433 · pith_short_12: FANXLZPKVYUD · pith_short_16: FANXLZPKVYUDHPMC · pith_short_8: FANXLZPK

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/FANXLZPKVYUDHPMCQGBSSHZ4C5 \
  | 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: 281b75e5eaae2833bd828183291f3c175ff6c4fa38b63960dced3b70c6105c8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec632cc202dd7a44c264e8a3c7401f294e8e80b56f33f0da3bb86db275c1771f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-03-09T11:36:43Z",
    "title_canon_sha256": "784c59132e117c5a5441111d2f91625112f1e5eb57c63e6e78fd16fc36b984a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02433",
    "kind": "arxiv",
    "version": 1
  }
}