Pith Number

pith:S4W6B52V

pith:2021:S4W6B52VVPNR6R3L3CUW3PC34P

not attested not anchored not stored refs pending

Phase transition of non-linear charged Anti-de Sitter black holes

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

arxiv:2112.10403 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{S4W6B52VVPNR6R3L3CUW3PC34P}

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	2026-07-05T04:56:13.797908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

972de0f755abdb1f476bd8a96dbc5be3ff2e4e362f134ec6cf43fc3285c97b26

Aliases

arxiv: 2112.10403 · arxiv_version: 2112.10403v1 · doi: 10.48550/arxiv.2112.10403 · pith_short_12: S4W6B52VVPNR · pith_short_16: S4W6B52VVPNR6R3L · pith_short_8: S4W6B52V

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/S4W6B52VVPNR6R3L3CUW3PC34P \
  | 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: 972de0f755abdb1f476bd8a96dbc5be3ff2e4e362f134ec6cf43fc3285c97b26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b498cd0350aa3d424057cd1355e2f004e2e4742797841afd4b70827686e1be0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-20T08:50:39Z",
    "title_canon_sha256": "b08fe5cec1cf2f7332488dc7b40766f69ebb868b09a4f9d14a3294d9ef3ad11a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.10403",
    "kind": "arxiv",
    "version": 1
  }
}