Pith Number

pith:BM67NNQD

pith:2013:BM67NNQDU3GMCLRPIODNIGPY36

not attested not anchored not stored refs pending

Maxwell's equal area law and the Hawking-Page phase transition

Anais Smailagic, Euro Spallucci

arxiv:1310.2186 v1 · 2013-10-08 · 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{BM67NNQDU3GMCLRPIODNIGPY36}

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	2026-05-18T03:10:59.044504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b3df6b603a6ccc12e2f4386d419f8dfb8d052ab0f2fec9c549a16174debe631

Aliases

arxiv: 1310.2186 · arxiv_version: 1310.2186v1 · doi: 10.48550/arxiv.1310.2186 · pith_short_12: BM67NNQDU3GM · pith_short_16: BM67NNQDU3GMCLRP · pith_short_8: BM67NNQD

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/BM67NNQDU3GMCLRPIODNIGPY36 \
  | 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: 0b3df6b603a6ccc12e2f4386d419f8dfb8d052ab0f2fec9c549a16174debe631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dad5e13a72a2c5976b1c39dd6df82eae5b4c8a71d557b04468ba670862b23658",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-10-08T15:54:16Z",
    "title_canon_sha256": "8cbe31e5cf9eef04a6a57879eeddb1cd5844e853fe24d77511d01bd3825777bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2186",
    "kind": "arxiv",
    "version": 1
  }
}