Pith Number

pith:G4WIFWLR

pith:2016:G4WIFWLRZ37JF7OR7QU37YG2TI

not attested not anchored not stored refs pending

Thermogeometric phase transition in a unified framework

Bibhas Ranjan Majhi, Rabin Banerjee, Saurav Samanta

arxiv:1611.06701 v2 · 2016-11-21 · gr-qc · cond-mat.stat-mech · 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{G4WIFWLRZ37JF7OR7QU37YG2TI}

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	2026-05-18T00:51:33.771460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

372c82d971cefe92fdd1fc29bfe0da9a1e2007257750d02c98a14fb543ff37af

Aliases

arxiv: 1611.06701 · arxiv_version: 1611.06701v2 · doi: 10.48550/arxiv.1611.06701 · pith_short_12: G4WIFWLRZ37J · pith_short_16: G4WIFWLRZ37JF7OR · pith_short_8: G4WIFWLR

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/G4WIFWLRZ37JF7OR7QU37YG2TI \
  | 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: 372c82d971cefe92fdd1fc29bfe0da9a1e2007257750d02c98a14fb543ff37af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79dba03923c8589199aa40ce921018de633af7158cd837741d6a1f8f04a5f85c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-11-21T09:49:35Z",
    "title_canon_sha256": "3e108bb3fd5c728054d60eee8bcde6c979384cb1aa8f5c433dd8a1a5afb0b652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06701",
    "kind": "arxiv",
    "version": 2
  }
}