Pith Number

pith:PECEA2ZN

pith:2011:PECEA2ZNX4XURSLFSDA5WWZ6E6

not attested not anchored not stored refs pending

A Study of Phase Transition in Black Hole Thermodynamics

Ritabrata Biswas, Subenoy Chakraborty

arxiv:1104.3723 v1 · 2011-04-19 · 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{PECEA2ZNX4XURSLFSDA5WWZ6E6}

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	2026-05-18T04:21:50.326586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7904406b2dbf2f48c96590c1db5b3e27bbd30c6606e06a10b78b0b4b93e18571

Aliases

arxiv: 1104.3723 · arxiv_version: 1104.3723v1 · doi: 10.48550/arxiv.1104.3723 · pith_short_12: PECEA2ZNX4XU · pith_short_16: PECEA2ZNX4XURSLF · pith_short_8: PECEA2ZN

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/PECEA2ZNX4XURSLFSDA5WWZ6E6 \
  | 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: 7904406b2dbf2f48c96590c1db5b3e27bbd30c6606e06a10b78b0b4b93e18571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53bd3dc4855bce2316b5497186245f0ac1e98570056063aaa568fdcf9ac03a4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-04-19T12:16:31Z",
    "title_canon_sha256": "52cae6b8b56b08719dd670dcfdb0fe037eaea7a5f0d709d9626a57c16ae6d3ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3723",
    "kind": "arxiv",
    "version": 1
  }
}