pith. sign in
Pith Number

pith:4B4JO54Q

pith:2015:4B4JO54QM3JIPRNTG5YE7CJI5S
not attested not anchored not stored refs pending

Evolutionary outcomes for pairs of planets undergoing orbital migration and circularization: second order resonances and observed period ratios in Kepler's planetary systems

J.C.B. Papaloizou, M. Xiang-Gruess

arxiv:1503.00906 v3 · 2015-03-03 · astro-ph.EP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4B4JO54QM3JIPRNTG5YE7CJI5S}

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 2026-05-18T02:18:23.299668Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e07897779066d287c5b337704f8928ec8790e4c55029b8aa872f25f74e8bb9ab

Aliases

arxiv: 1503.00906 · arxiv_version: 1503.00906v3 · doi: 10.48550/arxiv.1503.00906 · pith_short_12: 4B4JO54QM3JI · pith_short_16: 4B4JO54QM3JIPRNT · pith_short_8: 4B4JO54Q
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4B4JO54QM3JIPRNTG5YE7CJI5S \
  | 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: e07897779066d287c5b337704f8928ec8790e4c55029b8aa872f25f74e8bb9ab
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5b5e8661050df6cae6dbba7a7c84d1847599813174f01be00040d37a6bbd4eb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2015-03-03T11:46:00Z",
    "title_canon_sha256": "20d5c734cf807694d8e6847d8da53bbd7b3b4cd11d7635250366a9d060b6b02c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00906",
    "kind": "arxiv",
    "version": 3
  }
}