Pith Number

pith:A2CYLWM6

pith:1994:A2CYLWM6CKRVOWAGXDWPO3NHL3

not attested not anchored not stored refs pending

The set of maps F_{a,b}: x -> x+a+{b/{2 pi}} sin(2 pi x) with any given rotation interval is contractible

Adam Epstein, Charles Tresser, Linda Keen

arxiv:math/9405216 v1 · 1994-05-14 · 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{A2CYLWM6CKRVOWAGXDWPO3NHL3}

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	2026-05-18T01:05:51.366727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

068585d99e12a3575806b8ecf76da75efa48bb5aea171388b6fa62ff27f4de8b

Aliases

arxiv: math/9405216 · arxiv_version: math/9405216v1 · doi: 10.48550/arxiv.math/9405216 · pith_short_12: A2CYLWM6CKRV · pith_short_16: A2CYLWM6CKRVOWAG · pith_short_8: A2CYLWM6

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/A2CYLWM6CKRVOWAGXDWPO3NHL3 \
  | 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: 068585d99e12a3575806b8ecf76da75efa48bb5aea171388b6fa62ff27f4de8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d7b069b6f8832cdcfafe0db651bd6b94f9cca6620fb60f4b51d5c8ff3ee21d3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1994-05-14T00:00:00Z",
    "title_canon_sha256": "a98277ffb527fd455eebff4882a31e1864eef972d40f334158cc475b46c2d74f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9405216",
    "kind": "arxiv",
    "version": 1
  }
}