Pith Number

pith:DLT5MNXR

pith:2026:DLT5MNXREARZKJZYPXBRLRU5GE

not attested not anchored not stored refs pending

The entropy of black hole under second-order deviation from equilibrium

Li-Ming Cao, Ming-Fei Ji, Wen-Tao Fu, Yu-Sen Zhou

arxiv:2606.16757 v2 · 2026-06-15 · 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{DLT5MNXREARZKJZYPXBRLRU5GE}

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	2026-06-19T16:11:38.117510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ae7d636f120239527387dc315c69d3138c4b6e88f84cc3869afa76198ae9529

Aliases

arxiv: 2606.16757 · arxiv_version: 2606.16757v2 · doi: 10.48550/arxiv.2606.16757 · pith_short_12: DLT5MNXREARZ · pith_short_16: DLT5MNXREARZKJZY · pith_short_8: DLT5MNXR

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/DLT5MNXREARZKJZYPXBRLRU5GE \
  | 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: 1ae7d636f120239527387dc315c69d3138c4b6e88f84cc3869afa76198ae9529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4e55393d4cbde8a1c11f0abb38826ec308a65522bba30f40306c086833cc3da",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-15T14:10:39Z",
    "title_canon_sha256": "d859145bee4de48b014acfd64fceb33be972022f3631ada04555b0ed403ac51e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.16757",
    "kind": "arxiv",
    "version": 2
  }
}