Pith Number

pith:M3LB5ROP

pith:2001:M3LB5ROP5LLHFBJ63VKMUJDECS

not attested not anchored not stored refs pending

Binary black holes in circular orbits. II. Numerical methods and first results

CNRS, Eric Gourgoulhon, Observatoire de Paris), Philippe Grandcl\'ement, Silvano Bonazzola (DARC

arxiv:gr-qc/0106016 v4 · 2001-06-05 · 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{M3LB5ROP5LLHFBJ63VKMUJDECS}

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

Classical Renormalization Group Equations for General Relativity

Receipt and verification

First computed	2026-07-04T16:26:55.036134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66d61ec5cfead672853edd54ca2464148d1b7b41cdc6bc48227aaf79948362c5

Aliases

arxiv: gr-qc/0106016 · arxiv_version: gr-qc/0106016v4 · doi: 10.48550/arxiv.gr-qc/0106016 · pith_short_12: M3LB5ROP5LLH · pith_short_16: M3LB5ROP5LLHFBJ6 · pith_short_8: M3LB5ROP

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/M3LB5ROP5LLHFBJ63VKMUJDECS \
  | 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: 66d61ec5cfead672853edd54ca2464148d1b7b41cdc6bc48227aaf79948362c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54f6d47dc1201eb396eddd774f3475bf1331086b9354f24e686e8def81997b2e",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-06-05T20:51:47Z",
    "title_canon_sha256": "33fd6c86c1110fb87225580cb7344f96497d08313d0034e0b6f187f26f7df2db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0106016",
    "kind": "arxiv",
    "version": 4
  }
}