Pith Number

pith:EHDO5RII

pith:2026:EHDO5RIIQHZ54QGWKYPC2PSBUW

not attested not anchored not stored refs pending

Orbital stability of compact three-planet systems III. The role of three-body resonances

Jack J. Lissauer, Sacha Gavino

arxiv:2601.20220 v1 · 2026-01-28 · astro-ph.EP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EHDO5RIIQHZ54QGWKYPC2PSBUW}

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	2026-06-10T14:10:47.558768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21c6eec50881f3de40d6561e2d3e41a5bd4928c62d9e978d3019fb1e1ee55444

Aliases

arxiv: 2601.20220 · arxiv_version: 2601.20220v1 · doi: 10.48550/arxiv.2601.20220 · pith_short_12: EHDO5RIIQHZ5 · pith_short_16: EHDO5RIIQHZ54QGW · pith_short_8: EHDO5RII

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/EHDO5RIIQHZ54QGWKYPC2PSBUW \
  | 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: 21c6eec50881f3de40d6561e2d3e41a5bd4928c62d9e978d3019fb1e1ee55444

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f71fb5769a65268e69b9239cb55a4a7b7b70dfa731ec9d2955c8648b49f57d0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2026-01-28T03:42:42Z",
    "title_canon_sha256": "efe9d3344b730bce58e31b7e20e9400f5e065742fe077b8781c9676c18672786"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.20220",
    "kind": "arxiv",
    "version": 1
  }
}