Pith Number

pith:CFMM3C5K

pith:2009:CFMM3C5KMQCTSWIL6YPZK75WX6

not attested not anchored not stored refs pending

Semiquandles and flat virtual knots

Allison Henrich, Sam Nelson

arxiv:0901.4315 v2 · 2009-01-27 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CFMM3C5KMQCTSWIL6YPZK75WX6}

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	2026-05-18T04:12:55.194616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1158cd8baa640539590bf61f957fb6bfb51fc81c4c830bf4e4e32f2a65e740a7

Aliases

arxiv: 0901.4315 · arxiv_version: 0901.4315v2 · doi: 10.48550/arxiv.0901.4315 · pith_short_12: CFMM3C5KMQCT · pith_short_16: CFMM3C5KMQCTSWIL · pith_short_8: CFMM3C5K

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/CFMM3C5KMQCTSWIL6YPZK75WX6 \
  | 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: 1158cd8baa640539590bf61f957fb6bfb51fc81c4c830bf4e4e32f2a65e740a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e934e58738213a50c7ea87cd4023abef05c2711e0f0740efd17d76ac128123a6",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-01-27T19:11:53Z",
    "title_canon_sha256": "7e51da85e04428df8c712686c0f9b69cd14f51552fd766c0f1f9cb82f63e1b71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.4315",
    "kind": "arxiv",
    "version": 2
  }
}