Pith Number

pith:NQQLJZV2

pith:2009:NQQLJZV2LFXYIPKHPJJE54GDK6

not attested not anchored not stored refs pending

Knots with small rational genus

Cameron Gordon, Danny Calegari

arxiv:0912.1843 v3 · 2009-12-09 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQQLJZV2LFXYIPKHPJJE54GDK6}

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	2026-05-18T03:34:25.844940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c20b4e6ba596f843d477a524ef0c3579fb468f5448311fc05331fcbeffb5a89

Aliases

arxiv: 0912.1843 · arxiv_version: 0912.1843v3 · doi: 10.48550/arxiv.0912.1843 · pith_short_12: NQQLJZV2LFXY · pith_short_16: NQQLJZV2LFXYIPKH · pith_short_8: NQQLJZV2

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/NQQLJZV2LFXYIPKHPJJE54GDK6 \
  | 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: 6c20b4e6ba596f843d477a524ef0c3579fb468f5448311fc05331fcbeffb5a89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "573c34056d9551483173691da576fb1f5a1b3d66e16dcde9bdb9fd9c62cb66a1",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-12-09T19:40:41Z",
    "title_canon_sha256": "2341d45221769cfd2a30652806fc51488ff7ec0fe093c2194068f0220c954638"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1843",
    "kind": "arxiv",
    "version": 3
  }
}