Pith Number

pith:XP3LIT3C

pith:2021:XP3LIT3CK3MU4EURY4YGSVJOXX

not attested not anchored not stored refs pending

Period Ratio Sculpting Near Second-Order Mean-Motion Resonances

Daniel Fabrycky, Gregory Gilbert, Nora Bailey

arxiv:2110.06317 v1 · 2021-10-12 · 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{XP3LIT3CK3MU4EURY4YGSVJOXX}

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	2026-07-05T03:42:51.697410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbf6b44f6256d94e1291c73069552ebdeba385f178b965ca2c6b472dd6b63989

Aliases

arxiv: 2110.06317 · arxiv_version: 2110.06317v1 · doi: 10.48550/arxiv.2110.06317 · pith_short_12: XP3LIT3CK3MU · pith_short_16: XP3LIT3CK3MU4EUR · pith_short_8: XP3LIT3C

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/XP3LIT3CK3MU4EURY4YGSVJOXX \
  | 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: bbf6b44f6256d94e1291c73069552ebdeba385f178b965ca2c6b472dd6b63989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c884c940220deb81ff88dfb2e30d3abe9808a29272e424182a9d0f063c2ec9ce",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2021-10-12T20:10:52Z",
    "title_canon_sha256": "6108ca31f10136636a16747d43600b8d1294b70e17f01173a52d2bb8239b713e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.06317",
    "kind": "arxiv",
    "version": 1
  }
}