Pith Number

pith:3IMOAXY6

pith:2010:3IMOAXY6WA3KMC5OVA5YM2RV4L

not attested not anchored not stored refs pending

Knotoids

Vladimir Turaev

arxiv:1002.4133 v5 · 2010-02-22 · 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{3IMOAXY6WA3KMC5OVA5YM2RV4L}

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	2026-05-18T04:24:35.251685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da18e05f1eb036a60baea83b866a35e2effbc733ea258597ed5c926a8a26400b

Aliases

arxiv: 1002.4133 · arxiv_version: 1002.4133v5 · doi: 10.48550/arxiv.1002.4133 · pith_short_12: 3IMOAXY6WA3K · pith_short_16: 3IMOAXY6WA3KMC5O · pith_short_8: 3IMOAXY6

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/3IMOAXY6WA3KMC5OVA5YM2RV4L \
  | 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: da18e05f1eb036a60baea83b866a35e2effbc733ea258597ed5c926a8a26400b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c2ba09d297c66ea3b90bf87a844ccc40312a7b16835080044aaf0cfc64e8377",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-02-22T15:10:22Z",
    "title_canon_sha256": "909ae8250f590c1fd8877d6a04bad231b8531d2b235184cda14c612737c5a35a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4133",
    "kind": "arxiv",
    "version": 5
  }
}