Pith Number

pith:5KBPSA5J

pith:2026:5KBPSA5JIWN7CW2ZEN24MJGBKY

not attested not anchored not stored refs pending

A ribbon knot which is not a symmetric union

Michel Boileau, Teruaki Kitano, Yuta Nozaki

arxiv:2606.02968 v1 · 2026-06-02 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KBPSA5JIWN7CW2ZEN24MJGBKY}

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	2026-06-03T01:05:27.991771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea82f903a9459bf15b592375c624c1562c29bd212b1a66d53170c43546dd7e73

Aliases

arxiv: 2606.02968 · arxiv_version: 2606.02968v1 · doi: 10.48550/arxiv.2606.02968 · pith_short_12: 5KBPSA5JIWN7 · pith_short_16: 5KBPSA5JIWN7CW2Z · pith_short_8: 5KBPSA5J

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/5KBPSA5JIWN7CW2ZEN24MJGBKY \
  | 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: ea82f903a9459bf15b592375c624c1562c29bd212b1a66d53170c43546dd7e73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f671686b2984a142ee2a1fdb1169234466ac61bdf9c5cec8ed7d51f21b4a5fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-02T00:11:45Z",
    "title_canon_sha256": "c8c7a3c4bc4d31773c1fc6a8ef60612f1c1a62a68598cc98e508af7aaecee763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02968",
    "kind": "arxiv",
    "version": 1
  }
}