Pith Number

pith:RYZEJZ74

pith:2003:RYZEJZ74GACWU4I3MM7IOHVWJF

not attested not anchored not stored refs pending

Periodic solutions of a many-rotator problem in the plane. II. Analysis of various motions

F. Calogero, J-P. Fran\c{c}oise, M. Sommacal

arxiv:nlin/0310047 v1 · 2003-10-30 · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYZEJZ74GACWU4I3MM7IOHVWJF}

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	2026-05-18T01:38:19.207355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e3244e7fc30056a711b633e871eb64971d6ad217cd83503f333604a995abd8f

Aliases

arxiv: nlin/0310047 · arxiv_version: nlin/0310047v1 · doi: 10.48550/arxiv.nlin/0310047 · pith_short_12: RYZEJZ74GACW · pith_short_16: RYZEJZ74GACWU4I3 · pith_short_8: RYZEJZ74

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/RYZEJZ74GACWU4I3MM7IOHVWJF \
  | 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: 8e3244e7fc30056a711b633e871eb64971d6ad217cd83503f333604a995abd8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aa0d633ba42f96d586bb45412b02d7f26cf59fd91c5e658d87b1da2a0225a26",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.SI",
    "submitted_at": "2003-10-30T19:58:56Z",
    "title_canon_sha256": "c80654cac071bd005639c8cf26eda756c97c78333ca1457c002676ea32a15ce3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0310047",
    "kind": "arxiv",
    "version": 1
  }
}