Pith Number

pith:YZNTNUGK

pith:2001:YZNTNUGKKI4TQEVRECTN77OGOC

not attested not anchored not stored refs pending

Innermost circular orbit of binary black holes at the third post-Newtonian approximation

Luc Blanchet

arxiv:gr-qc/0112056 v4 · 2001-12-21 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YZNTNUGKKI4TQEVRECTN77OGOC}

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

Post-Newtonian Theory for Gravitational Waves

Receipt and verification

First computed	2026-07-04T15:18:06.936619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c65b36d0ca52393812b120a6dffdc6708c7eaa3ff58744451b892c2dae18e682

Aliases

arxiv: gr-qc/0112056 · arxiv_version: gr-qc/0112056v4 · doi: 10.48550/arxiv.gr-qc/0112056 · pith_short_12: YZNTNUGKKI4T · pith_short_16: YZNTNUGKKI4TQEVR · pith_short_8: YZNTNUGK

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/YZNTNUGKKI4TQEVRECTN77OGOC \
  | 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: c65b36d0ca52393812b120a6dffdc6708c7eaa3ff58744451b892c2dae18e682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65303f7bd824f75c3c2da74ff3fd83d4300d9ad22198fc46bbbfb3e78cda66b4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-12-21T20:18:20Z",
    "title_canon_sha256": "fa283c651d5a3f5d72eb618251069837fc8779cd44f85a018ab4ba589ed63344"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0112056",
    "kind": "arxiv",
    "version": 4
  }
}