Pith Number

pith:PCOO7JAP

pith:2012:PCOO7JAPNAS27G4GWKZOAJ3VMP

not attested not anchored not stored refs pending

Aligned Spins: Orbital Elements, Decaying Orbits, and Last Stable Circular Orbit to high post-Newtonian Orders

Gerhard Sch\"afer, Johannes Hartung, Manuel Tessmer

arxiv:1207.6961 v2 · 2012-07-30 · 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{PCOO7JAPNAS27G4GWKZOAJ3VMP}

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	2026-05-18T01:25:16.515940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

789cefa40f6825af9b86b2b2e0277563cfee77599f8a8bb31167ab46e48aeddd

Aliases

arxiv: 1207.6961 · arxiv_version: 1207.6961v2 · doi: 10.48550/arxiv.1207.6961 · pith_short_12: PCOO7JAPNAS2 · pith_short_16: PCOO7JAPNAS27G4G · pith_short_8: PCOO7JAP

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/PCOO7JAPNAS27G4GWKZOAJ3VMP \
  | 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: 789cefa40f6825af9b86b2b2e0277563cfee77599f8a8bb31167ab46e48aeddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b158f22698ead6cca53aa69a3d1918a9e381b1c6344254a3f76493acda109582",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-30T15:17:58Z",
    "title_canon_sha256": "f68f5ddf84518b1b690dcb313b339b242c8d4ef3e7f17c10bf81ee4f9e369923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6961",
    "kind": "arxiv",
    "version": 2
  }
}