Pith Number

pith:YPRFCDPC

pith:2011:YPRFCDPCXLIFEHB7K2FBL3HZNH

not attested not anchored not stored refs pending

A unified picture of phase transition: from liquid-vapour systems to AdS black holes

Dibakar Roychowdhury, Rabin Banerjee, Sujoy Kumar Modak

arxiv:1106.3877 v3 · 2011-06-20 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPRFCDPCXLIFEHB7K2FBL3HZNH}

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	2026-05-18T03:42:44.836391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3e2510de2bad0521c3f568a15ecf969c907e5e763bd2ff7a5a5f59fbaea8b73

Aliases

arxiv: 1106.3877 · arxiv_version: 1106.3877v3 · doi: 10.48550/arxiv.1106.3877 · pith_short_12: YPRFCDPCXLIF · pith_short_16: YPRFCDPCXLIFEHB7 · pith_short_8: YPRFCDPC

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/YPRFCDPCXLIFEHB7K2FBL3HZNH \
  | 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: c3e2510de2bad0521c3f568a15ecf969c907e5e763bd2ff7a5a5f59fbaea8b73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d9fa9f652b2ed44d255f556d8721d4e16b75be5f2b5ccce2442430630417fa7",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-06-20T12:17:48Z",
    "title_canon_sha256": "5264112975f8e68cf1861426db156c6182dfc4ba269c929869340f46e5fb17d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3877",
    "kind": "arxiv",
    "version": 3
  }
}