Pith Number

pith:ZN4STCPR

pith:2020:ZN4STCPRHKKQUHIFCI6ES43FWA

not attested not anchored not stored refs pending

Entropy of black holes with arbitrary shapes in loop quantum gravity

Cong Zhang, Haida Li, Shupeng Song, Yongge Ma

arxiv:2002.08869 v2 · 2020-02-20 · 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{ZN4STCPRHKKQUHIFCI6ES43FWA}

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	2026-07-05T03:27:24.943153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb792989f13a950a1d05123c497365b0378d805c6c282c48775b76b9c155a5f2

Aliases

arxiv: 2002.08869 · arxiv_version: 2002.08869v2 · doi: 10.48550/arxiv.2002.08869 · pith_short_12: ZN4STCPRHKKQ · pith_short_16: ZN4STCPRHKKQUHIF · pith_short_8: ZN4STCPR

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/ZN4STCPRHKKQUHIFCI6ES43FWA \
  | 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: cb792989f13a950a1d05123c497365b0378d805c6c282c48775b76b9c155a5f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f8725414e08541431da224f2eae5839b0efe9bf7d8ed2afac0ddd0d56cf4db6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-02-20T17:08:31Z",
    "title_canon_sha256": "a62bab98b428646e628a24b6f4ae0e3bedea4da7b62bcc5f3a0905732f6fe57f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.08869",
    "kind": "arxiv",
    "version": 2
  }
}