Pith Number

pith:BPS4LI64

pith:2003:BPS4LI64HQDCLJLVOBMFISPXZO

not attested not anchored not stored refs pending

Frequency map analysis and quasiperiodic decompositions

Jacques Laskar

arxiv:math/0305364 v3 · 2003-05-26 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPS4LI64HQDCLJLVOBMFISPXZO}

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.

Cited by

1 paper in Pith

Laskar's frequency map analysis revisited

Receipt and verification

First computed	2026-07-04T14:37:20.275374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0be5c5a3dc3c0625a57570585449f7cb971024a2f09cde3bc4aff7987c3417ff

Aliases

arxiv: math/0305364 · arxiv_version: math/0305364v3 · doi: 10.48550/arxiv.math/0305364 · pith_short_12: BPS4LI64HQDC · pith_short_16: BPS4LI64HQDCLJLV · pith_short_8: BPS4LI64

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/BPS4LI64HQDCLJLVOBMFISPXZO \
  | 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: 0be5c5a3dc3c0625a57570585449f7cb971024a2f09cde3bc4aff7987c3417ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e294ed0f5eb22e336cdc285aecb306f138783f3588f46690dd14d1b9b3113e31",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2003-05-26T15:18:19Z",
    "title_canon_sha256": "0d4b5b4ce2393715f7124890b61631f9674038d625fb42897d7f5c3365d2641e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305364",
    "kind": "arxiv",
    "version": 3
  }
}