Pith Number

pith:FO64YJ3K

pith:2009:FO64YJ3KAEAQ76ZXHGHPPODNDM

not attested not anchored not stored refs pending

Approach to a rational rotation number in a piecewise isometric system

Franco Vivaldi, John H. Lowenstein

arxiv:0909.3458 v1 · 2009-09-18 · 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{FO64YJ3KAEAQ76ZXHGHPPODNDM}

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	2026-05-18T02:11:46.393533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bbdcc276a01010ffb37398ef7b86d1b1ccfd89dee2ba534c5cce90a7f127999

Aliases

arxiv: 0909.3458 · arxiv_version: 0909.3458v1 · doi: 10.48550/arxiv.0909.3458 · pith_short_12: FO64YJ3KAEAQ · pith_short_16: FO64YJ3KAEAQ76ZX · pith_short_8: FO64YJ3K

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/FO64YJ3KAEAQ76ZXHGHPPODNDM \
  | 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: 2bbdcc276a01010ffb37398ef7b86d1b1ccfd89dee2ba534c5cce90a7f127999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b9674b30dd18c669bd6ef83ad220b7df1bd8847e40fbeef1bed9e06602194f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-09-18T15:02:43Z",
    "title_canon_sha256": "8a2ef5cddf2505ab1fe2e444290c519720589200d048d03bae83ab5a4abb02c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3458",
    "kind": "arxiv",
    "version": 1
  }
}