Pith Number

pith:CAWWZVEU

pith:2024:CAWWZVEUMDNZ7VNYZHZPU2X5TG

not attested not anchored not stored refs pending

Gravitational focusing and horizon entropy for higher-spin fields

Zihan Yan

arxiv:2412.07107 v2 · 2024-12-10 · 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{CAWWZVEUMDNZ7VNYZHZPU2X5TG}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T10:53:49.826288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

102d6cd49460db9fd5b8c9f2fa6afd99bcd364cca1737d2253750d63caf768e8

Aliases

arxiv: 2412.07107 · arxiv_version: 2412.07107v2 · doi: 10.48550/arxiv.2412.07107 · pith_short_12: CAWWZVEUMDNZ · pith_short_16: CAWWZVEUMDNZ7VNY · pith_short_8: CAWWZVEU

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/CAWWZVEUMDNZ7VNYZHZPU2X5TG \
  | 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: 102d6cd49460db9fd5b8c9f2fa6afd99bcd364cca1737d2253750d63caf768e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e662e708a9e92118274f2db9c109508253304e908c43569d1d721d52d826fa9d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-10T01:46:34Z",
    "title_canon_sha256": "6825c36ecb47cea6fb4cbaff442442610cc38f783e425adaf6e12edb6615935a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.07107",
    "kind": "arxiv",
    "version": 2
  }
}