Pith Number

pith:GNW4ZT2H

pith:2026:GNW4ZT2H7U4VHYI5TA2QLUI2XR

not attested not anchored not stored refs pending

Trade-off Relation for Black Hole Entropy Fluctuations

Kensuke Gallock-Yoshimura, Yoshihiko Hasegawa

arxiv:2605.26214 v1 · 2026-05-25 · gr-qc · hep-th · quant-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{GNW4ZT2H7U4VHYI5TA2QLUI2XR}

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	2026-05-27T00:04:29.153917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

336dcccf47fd3953e11d983505d11abc6c0b9a122a5b56e4726e5239b833c22f

Aliases

arxiv: 2605.26214 · arxiv_version: 2605.26214v1 · doi: 10.48550/arxiv.2605.26214 · pith_short_12: GNW4ZT2H7U4V · pith_short_16: GNW4ZT2H7U4VHYI5 · pith_short_8: GNW4ZT2H

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/GNW4ZT2H7U4VHYI5TA2QLUI2XR \
  | 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: 336dcccf47fd3953e11d983505d11abc6c0b9a122a5b56e4726e5239b833c22f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee52d5b829c6adc8790947bbe3fb8b0e2113a088a6b879d6c45e297dbefcf33f",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-25T18:00:01Z",
    "title_canon_sha256": "dcaaaf8be3107a25094110d995e950dace212d5349925a48a6a151b670b42b29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26214",
    "kind": "arxiv",
    "version": 1
  }
}