Pith Number

pith:7KWMH6BO

pith:2025:7KWMH6BONQVQAM7ACSFPQVRSBH

not attested not anchored not stored refs pending

Bifurcation and Critical Phenomena in Black Hole Thermodynamics

Bidyut Hazarika, Prabwal Phukon

arxiv:2509.07656 v1 · 2025-09-09 · 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{7KWMH6BONQVQAM7ACSFPQVRSBH}

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.

Cited by

1 paper in Pith

Topology of black hole thermodynamics: A brief review

Receipt and verification

First computed	2026-07-05T12:07:25.596543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faacc3f82e6c2b0033e0148af8563209f6e7a0f078b1dfce02c9e7102cf61553

Aliases

arxiv: 2509.07656 · arxiv_version: 2509.07656v1 · doi: 10.48550/arxiv.2509.07656 · pith_short_12: 7KWMH6BONQVQ · pith_short_16: 7KWMH6BONQVQAM7A · pith_short_8: 7KWMH6BO

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/7KWMH6BONQVQAM7ACSFPQVRSBH \
  | 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: faacc3f82e6c2b0033e0148af8563209f6e7a0f078b1dfce02c9e7102cf61553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "826276d00da0e63c6f769a24c4cabd2489123026eea368ffe3a0d6976ef702e9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-09-09T12:22:35Z",
    "title_canon_sha256": "e95a5bb2f337d7bd83aa55468d3e7e2d972b03ec0cb9c9eec8a3b17fcfa9c617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07656",
    "kind": "arxiv",
    "version": 1
  }
}