Pith Number

pith:BNXEUA3W

pith:2006:BNXEUA3WBHIRQPNZTVFFVHGQDS

not attested not anchored not stored refs pending

Equipotential Surfaces and Lagrangian points in Non-synchronous, Eccentric Binary and Planetary Systems

B. Willems, J. F. Sepinsky, V. Kalogera

arxiv:astro-ph/0612508 v2 · 2006-12-18 · 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{BNXEUA3WBHIRQPNZTVFFVHGQDS}

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	2026-05-18T04:29:14.707069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b6e4a037609d1183db99d4a5a9cd01cacdda189c86f802f4e2bb9d34a32aec1

Aliases

arxiv: astro-ph/0612508 · arxiv_version: astro-ph/0612508v2 · doi: 10.48550/arxiv.astro-ph/0612508 · pith_short_12: BNXEUA3WBHIR · pith_short_16: BNXEUA3WBHIRQPNZ · pith_short_8: BNXEUA3W

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/BNXEUA3WBHIRQPNZTVFFVHGQDS \
  | 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: 0b6e4a037609d1183db99d4a5a9cd01cacdda189c86f802f4e2bb9d34a32aec1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b3d93bb104437ed2b570562868d6e29a312f691fc2b161851118d8094fe6601",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-12-18T21:09:31Z",
    "title_canon_sha256": "686a33fbc28dce703beaa2c3faf22263ad344a2c4dd9874499055914ef6e3de0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0612508",
    "kind": "arxiv",
    "version": 2
  }
}