Pith Number

pith:YYJTOVXS

pith:2025:YYJTOVXSS65LAIW3QH4ORRMXTN

not attested not anchored not stored refs pending

Kullback-Leibler Divergence as a Measure of Irreversible Information Loss Near Black Hole Horizons

Tatsuaki Tsuruyama

arxiv:2508.04348 v1 · 2025-08-06 · gr-qc · math-ph · math.MP · physics.space-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYJTOVXSS65LAIW3QH4ORRMXTN}

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	2026-07-05T11:49:24.869343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6133756f297bab022db81f8e8c5979b6ab876883a343dfa4de0b74ee66f0673

Aliases

arxiv: 2508.04348 · arxiv_version: 2508.04348v1 · doi: 10.48550/arxiv.2508.04348 · pith_short_12: YYJTOVXSS65L · pith_short_16: YYJTOVXSS65LAIW3 · pith_short_8: YYJTOVXS

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/YYJTOVXSS65LAIW3QH4ORRMXTN \
  | 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: c6133756f297bab022db81f8e8c5979b6ab876883a343dfa4de0b74ee66f0673

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7476bde890a3e9a1e1c72925c0e9c45b64acf574e533ad5afd7d55687b05fad",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.space-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-08-06T11:42:05Z",
    "title_canon_sha256": "607364e381b45c5bf12a11914970139d0aef56ce9b248e51c9dc196916655b17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.04348",
    "kind": "arxiv",
    "version": 1
  }
}