Pith Number

pith:NQ6YMBC6

pith:2025:NQ6YMBC6WMOTRA6ZQZY4CFUVEK

not attested not anchored not stored refs pending

Black Hole Entropy Bounded by the Specific Heat

H. Lu, Kai-Peng Lu

arxiv:2507.17812 v1 · 2025-07-23 · 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{NQ6YMBC6WMOTRA6ZQZY4CFUVEK}

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	2026-07-05T11:42:35.668172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c3d86045eb31d3883d98671c1169522b8477ea3a77949e63fa33243603f865e

Aliases

arxiv: 2507.17812 · arxiv_version: 2507.17812v1 · doi: 10.48550/arxiv.2507.17812 · pith_short_12: NQ6YMBC6WMOT · pith_short_16: NQ6YMBC6WMOTRA6Z · pith_short_8: NQ6YMBC6

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/NQ6YMBC6WMOTRA6ZQZY4CFUVEK \
  | 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: 6c3d86045eb31d3883d98671c1169522b8477ea3a77949e63fa33243603f865e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ee14a1fb8df87eafc73609b78d054bb93c9a29097e20dce28d5a0110d585128",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-23T18:00:01Z",
    "title_canon_sha256": "5ed5fb86f7bf3779ab3fa16e0c185ad8663f4991beab7d1ac6b6851e29e68436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17812",
    "kind": "arxiv",
    "version": 1
  }
}