Pith Number

pith:3YQVIHJW

pith:2024:3YQVIHJWDLQPL2CQ6KRYFU5FYG

not attested not anchored not stored refs pending

Thermodynamics and phase transition of Bardeen-AdS-class black holes

Shan-Ping Wu, Shao-Wen Wei

arxiv:2407.19702 v2 · 2024-07-29 · 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{3YQVIHJWDLQPL2CQ6KRYFU5FYG}

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	2026-07-05T09:47:56.171492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de21541d361ae0f5e850f2a382d3a5c1b847050a04d1b6d41eb87a819100a9fc

Aliases

arxiv: 2407.19702 · arxiv_version: 2407.19702v2 · doi: 10.48550/arxiv.2407.19702 · pith_short_12: 3YQVIHJWDLQP · pith_short_16: 3YQVIHJWDLQPL2CQ · pith_short_8: 3YQVIHJW

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/3YQVIHJWDLQPL2CQ6KRYFU5FYG \
  | 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: de21541d361ae0f5e850f2a382d3a5c1b847050a04d1b6d41eb87a819100a9fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffd5d70c668bca8a0832ca6d7eb3bebd8ad51371303dc2319fcd6222d0d707b8",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-07-29T04:50:43Z",
    "title_canon_sha256": "51066b041cd95e547ff967a1f92dbb1c16f4dca8eba26b33eb389f9aa979ec9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.19702",
    "kind": "arxiv",
    "version": 2
  }
}