Pith Number

pith:V7QWAONA

pith:2021:V7QWAONA4J5NCAW4XZ32VI2LSU

not attested not anchored not stored refs pending

Dynamic Property of Phase Transition for Non-Linear Charged Anti-de Sitter black holes

Huai-Fan Li Fang Liu, Li-Chun Zhang, Yun-Zhi Du

arxiv:2112.10398 v1 · 2021-12-20 · 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{V7QWAONA4J5NCAW4XZ32VI2LSU}

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	2026-07-05T04:56:13.768965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afe16039a0e27ad102dcbe77aaa34b952d00e7a50cd76ef205073e36a7564ae5

Aliases

arxiv: 2112.10398 · arxiv_version: 2112.10398v1 · doi: 10.48550/arxiv.2112.10398 · pith_short_12: V7QWAONA4J5N · pith_short_16: V7QWAONA4J5NCAW4 · pith_short_8: V7QWAONA

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/V7QWAONA4J5NCAW4XZ32VI2LSU \
  | 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: afe16039a0e27ad102dcbe77aaa34b952d00e7a50cd76ef205073e36a7564ae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17f5a85c309945bbeaec6752089c1b87e8058d61a768ba4db4b5b30585bd13dd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-20T08:36:15Z",
    "title_canon_sha256": "b71a1538f05b4028ae4ba3d8090c9cf6f14b0eb5bf0a740d10186e2c6fb279fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.10398",
    "kind": "arxiv",
    "version": 1
  }
}