Pith Number

pith:H3PFC4VI

pith:2005:H3PFC4VIIAF5Y34NHREF4VUM2V

not attested not anchored not stored refs pending

Modeling the 3--D Secular Planetary Three-Body Problem. Discussion on the outer ${\upsilon}$ Andromedae Planetary System

C. Beauge, S. Ferraz-Mello, T.A. Michtchenko

arxiv:astro-ph/0505169 v2 · 2005-05-09 · 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{H3PFC4VIIAF5Y34NHREF4VUM2V}

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	2026-05-18T01:40:34.105246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ede5172a8400bdc6f8d3c485e568cd570c3a6853ea0f54901a56d5953f9bd6b

Aliases

arxiv: astro-ph/0505169 · arxiv_version: astro-ph/0505169v2 · doi: 10.48550/arxiv.astro-ph/0505169 · pith_short_12: H3PFC4VIIAF5 · pith_short_16: H3PFC4VIIAF5Y34N · pith_short_8: H3PFC4VI

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/H3PFC4VIIAF5Y34NHREF4VUM2V \
  | 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: 3ede5172a8400bdc6f8d3c485e568cd570c3a6853ea0f54901a56d5953f9bd6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e98c45052334791d82e645dad8afc62c195bbef017c31889294810bbe7f1bde5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-05-09T14:02:00Z",
    "title_canon_sha256": "d43fb64fdfdcfabc474c35a3f5ae5b08849405408f4ea54454eb6d426281c32b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0505169",
    "kind": "arxiv",
    "version": 2
  }
}