Pith Number

pith:KYY3YRW7

pith:2013:KYY3YRW7HVCMHB523TGW7UVALC

not attested not anchored not stored refs pending

A coupling approach to random circle maps expanding on the average

Henri Sulku, Mikko Stenlund

arxiv:1306.2942 v1 · 2013-06-12 · 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{KYY3YRW7HVCMHB523TGW7UVALC}

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	2026-05-18T03:21:00.000021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5631bc46df3d44c387badccd6fd2a058b9f7da72ef3e3a9f16b3da2e097a4a79

Aliases

arxiv: 1306.2942 · arxiv_version: 1306.2942v1 · doi: 10.48550/arxiv.1306.2942 · pith_short_12: KYY3YRW7HVCM · pith_short_16: KYY3YRW7HVCMHB52 · pith_short_8: KYY3YRW7

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/KYY3YRW7HVCMHB523TGW7UVALC \
  | 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: 5631bc46df3d44c387badccd6fd2a058b9f7da72ef3e3a9f16b3da2e097a4a79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7da472be41025335ec5194b3137648dc16d1cf593b21cb71bedffa9560513706",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-06-12T20:00:01Z",
    "title_canon_sha256": "c91a535614f99d240ffb8abc460a4e73687d5eefabf8bbf120291fe09de31493"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2942",
    "kind": "arxiv",
    "version": 1
  }
}