Pith Number

pith:WF2MIIYT

pith:2010:WF2MIIYTHGVT4TX4FCTA3F6OGA

not attested not anchored not stored refs pending

Black hole phase transitions via Bragg-Williams

Binata Panda, Sayan K. Chakrabarti, Souvik Banerjee, Sudipta Mukherji

arxiv:1012.3256 v2 · 2010-12-15 · 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{WF2MIIYTHGVT4TX4FCTA3F6OGA}

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	2026-05-18T02:04:24.550165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b174c4231339ab3e4efc28a60d97ce30155a09e8e0d8f68e9fbf016e925a2e33

Aliases

arxiv: 1012.3256 · arxiv_version: 1012.3256v2 · doi: 10.48550/arxiv.1012.3256 · pith_short_12: WF2MIIYTHGVT · pith_short_16: WF2MIIYTHGVT4TX4 · pith_short_8: WF2MIIYT

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/WF2MIIYTHGVT4TX4FCTA3F6OGA \
  | 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: b174c4231339ab3e4efc28a60d97ce30155a09e8e0d8f68e9fbf016e925a2e33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1636da049fc81e6f31ea60971d5d9d7363542aed744ab91a2aa11e33e53c1af0",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-15T09:50:55Z",
    "title_canon_sha256": "ccbfe3e5358171be1fce18659d6f230d61142a72491c7adcef2e091554c2dabf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3256",
    "kind": "arxiv",
    "version": 2
  }
}