Pith Number

pith:4F5WSCYV

pith:2007:4F5WSCYVGFH3KDYHK6VAQYYZQD

not attested not anchored not stored refs pending

Stability Limits in Resonant Planetary Systems

Richard Greenberg, Rory Barnes

arxiv:0706.3721 v1 · 2007-06-25 · 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{4F5WSCYVGFH3KDYHK6VAQYYZQD}

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	2026-07-04T23:57:42.563041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e17b690b15314fb50f0757aa08631980c955e5d02d796604d32a1b7faa65d11b

Aliases

arxiv: 0706.3721 · arxiv_version: 0706.3721v1 · doi: 10.48550/arxiv.0706.3721 · pith_short_12: 4F5WSCYVGFH3 · pith_short_16: 4F5WSCYVGFH3KDYH · pith_short_8: 4F5WSCYV

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/4F5WSCYVGFH3KDYHK6VAQYYZQD \
  | 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: e17b690b15314fb50f0757aa08631980c955e5d02d796604d32a1b7faa65d11b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c084bd12a5255943edd5bad341d07b2cbb86f4ec43baf5e7261d65485c3eb77a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-06-25T22:22:16Z",
    "title_canon_sha256": "5c4959f84c26cf79ed74288e3cba336495ac2de2702e7d5fa99e26b9ca8fa86d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.3721",
    "kind": "arxiv",
    "version": 1
  }
}