Pith Number

pith:426UUVS3

pith:2016:426UUVS3ZGSLHY2TSV6CK3AVYP

not attested not anchored not stored refs pending

Phase transition and critical phenomena of black holes: A general approach

Abhijit Mandal, Bibhas Ranjan Majhi, Saurav Samanta

arxiv:1608.04176 v2 · 2016-08-15 · 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{426UUVS3ZGSLHY2TSV6CK3AVYP}

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	2026-05-18T01:03:48.580657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6bd4a565bc9a4b3e353957c256c15c3fb3603b2223814ce5d6f3adc773171f7

Aliases

arxiv: 1608.04176 · arxiv_version: 1608.04176v2 · doi: 10.48550/arxiv.1608.04176 · pith_short_12: 426UUVS3ZGSL · pith_short_16: 426UUVS3ZGSLHY2T · pith_short_8: 426UUVS3

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/426UUVS3ZGSLHY2TSV6CK3AVYP \
  | 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: e6bd4a565bc9a4b3e353957c256c15c3fb3603b2223814ce5d6f3adc773171f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "659df035a341b77b2f863889fbdc0862936a46ec0dc4ee223bb4088b182e3e85",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-08-15T04:07:43Z",
    "title_canon_sha256": "24e1af82fe7a223a9828893cf3de3bdfd9c1f8ac7400048515e23edfb44db803"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04176",
    "kind": "arxiv",
    "version": 2
  }
}