Pith Number

pith:MMW6JDFU

pith:2013:MMW6JDFUBJ7AEDP7BHU5QHCAM2

not attested not anchored not stored refs pending

Correspondence of phase transition points and singularities of thermodynamic geometry of black holes

Behrouz Mirza, Seyed Ali Hosseini Mansoori

arxiv:1308.1543 v2 · 2013-08-07 · gr-qc · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMW6JDFUBJ7AEDP7BHU5QHCAM2}

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	2026-05-18T03:00:02.962983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

632de48cb40a7e020dff09e9d81c406683501efb6ecab773c71c24bcf7f8e24c

Aliases

arxiv: 1308.1543 · arxiv_version: 1308.1543v2 · doi: 10.48550/arxiv.1308.1543 · pith_short_12: MMW6JDFUBJ7A · pith_short_16: MMW6JDFUBJ7AEDP7 · pith_short_8: MMW6JDFU

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/MMW6JDFUBJ7AEDP7BHU5QHCAM2 \
  | 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: 632de48cb40a7e020dff09e9d81c406683501efb6ecab773c71c24bcf7f8e24c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed3916f60e46bfec465854072ed1dead14e98856e301c3e30389689face846e6",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-08-07T11:54:47Z",
    "title_canon_sha256": "412617322a0cd4cdc08fb6f864ae34ee846b4dbf8608446dda6da8d0011234e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1543",
    "kind": "arxiv",
    "version": 2
  }
}