Pith Number

pith:W6RPPDAP

pith:2003:W6RPPDAPHGMYXUSKW53BXQZYRU

not attested not anchored not stored refs pending

Lyapunov timescales and black hole binaries

Janna Levin, Neil J. Cornish

arxiv:gr-qc/0304056 v1 · 2003-04-15 · gr-qc · astro-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{W6RPPDAPHGMYXUSKW53BXQZYRU}

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

Black Hole Photon Rings Saturate the Quantum Chaos Bound

Receipt and verification

First computed	2026-05-18T00:37:16.545944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7a2f78c0f39998bd24ab7761bc3388d30ca4b33f3041507ccbfd1e38834f3e0

Aliases

arxiv: gr-qc/0304056 · arxiv_version: gr-qc/0304056v1 · doi: 10.48550/arxiv.gr-qc/0304056 · pith_short_12: W6RPPDAPHGMY · pith_short_16: W6RPPDAPHGMYXUSK · pith_short_8: W6RPPDAP

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/W6RPPDAPHGMYXUSKW53BXQZYRU \
  | 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: b7a2f78c0f39998bd24ab7761bc3388d30ca4b33f3041507ccbfd1e38834f3e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f46ce91c249bc353bbeea152d8e598c5a1589ef331074cd27c587f8d1afd4200",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-04-15T10:19:15Z",
    "title_canon_sha256": "e0c9fb958819e76bcefa20d4bafaf99fdd0ce6bc381f667172771be339e74136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0304056",
    "kind": "arxiv",
    "version": 1
  }
}