Pith Number

pith:JVNMRFNC

pith:2025:JVNMRFNC2I7QK65YAR3CEIAZ5J

not attested not anchored not stored refs pending

Generalised focusing theorem and dynamical horizon entropy in diffeomorphism-invariant theories

Zihan Yan

arxiv:2509.00628 v1 · 2025-08-30 · 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{JVNMRFNC2I7QK65YAR3CEIAZ5J}

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	2026-07-05T12:02:19.823400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d5ac895a2d23f057bb80476222019ea6bd2500503e998e1e535394f668469bf

Aliases

arxiv: 2509.00628 · arxiv_version: 2509.00628v1 · doi: 10.48550/arxiv.2509.00628 · pith_short_12: JVNMRFNC2I7Q · pith_short_16: JVNMRFNC2I7QK65Y · pith_short_8: JVNMRFNC

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/JVNMRFNC2I7QK65YAR3CEIAZ5J \
  | 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: 4d5ac895a2d23f057bb80476222019ea6bd2500503e998e1e535394f668469bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc6fbb42ea85b0919787dc231a02b4dcfdefb9ce74d0dfc22d45b94a8ddfabc4",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-08-30T22:55:17Z",
    "title_canon_sha256": "ea70b6654fea64c2af39262f7f953eb9bd3070b3e7292b240326573940f343b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.00628",
    "kind": "arxiv",
    "version": 1
  }
}