Pith Number

pith:FAUI4YIQ

pith:2011:FAUI4YIQLKNJTYF7WNULZNSKRR

not attested not anchored not stored refs pending

A reduced set of moves on one-vertex ribbon graphs coming from links

Chris Penn, Cody Armond, Hannah Manuel, Heather M. Russell, Moshe Cohen, Neal W. Stoltzfus, Oliver T. Dasbach, Susan Abernathy

arxiv:1112.5172 v1 · 2011-12-21 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FAUI4YIQLKNJTYF7WNULZNSKRR}

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	2026-05-18T03:02:44.023393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28288e61105a9a99e0bfb368bcb64a8c649fb201e52db766e7d9f2fd5133aa65

Aliases

arxiv: 1112.5172 · arxiv_version: 1112.5172v1 · doi: 10.48550/arxiv.1112.5172 · pith_short_12: FAUI4YIQLKNJ · pith_short_16: FAUI4YIQLKNJTYF7 · pith_short_8: FAUI4YIQ

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/FAUI4YIQLKNJTYF7WNULZNSKRR \
  | 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: 28288e61105a9a99e0bfb368bcb64a8c649fb201e52db766e7d9f2fd5133aa65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60a7e857273b979134c8bb2786a22aaa353e4f588a50cd1c0f91b8d95ba0da36",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-12-21T21:11:23Z",
    "title_canon_sha256": "c873bb84ba9ddce7943067e4d03b56b396d2716846eae2c35ccac1a4d7325ced"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5172",
    "kind": "arxiv",
    "version": 1
  }
}