Pith Number

pith:JWRBYBBP

pith:2016:JWRBYBBPVLNAONKV353R6KHEL7

not attested not anchored not stored refs pending

A consistent and unified picture for critical phenomena of $f(R)$ AdS black holes

Gu-Qiang Li, Jie-Xiong Mo, Yu-Cheng Wu

arxiv:1602.01251 v2 · 2016-02-03 · 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{JWRBYBBPVLNAONKV353R6KHEL7}

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	2026-05-18T01:15:42.611783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4da21c042faada073555df771f28e45fcb97fe091028cf9e979ef4bf819a1ebb

Aliases

arxiv: 1602.01251 · arxiv_version: 1602.01251v2 · doi: 10.48550/arxiv.1602.01251 · pith_short_12: JWRBYBBPVLNA · pith_short_16: JWRBYBBPVLNAONKV · pith_short_8: JWRBYBBP

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/JWRBYBBPVLNAONKV353R6KHEL7 \
  | 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: 4da21c042faada073555df771f28e45fcb97fe091028cf9e979ef4bf819a1ebb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0483a014f012033c9d107efd504d322287d346321cc2324b366e291a2a0baf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-02-03T10:26:49Z",
    "title_canon_sha256": "9ed45615dfecfe5c0dda879c19e49b65856cfa33bc0bb4c920b8bf1e1781e80f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01251",
    "kind": "arxiv",
    "version": 2
  }
}