Pith Number

pith:D7UKMOUN

pith:2011:D7UKMOUNSNIIWVR5S6YWZIGB6W

not attested not anchored not stored refs pending

The genus of a random chord diagram is asymptotically normal

Boris Pittel, Sergei Chmutov

arxiv:1108.5214 v3 · 2011-08-25 · math.CO · 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{D7UKMOUNSNIIWVR5S6YWZIGB6W}

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	2026-05-18T04:12:57.328474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fe8a63a8d93508b563d97b16ca0c1f5a084af57a60ed5466331696fcf356767

Aliases

arxiv: 1108.5214 · arxiv_version: 1108.5214v3 · doi: 10.48550/arxiv.1108.5214 · pith_short_12: D7UKMOUNSNII · pith_short_16: D7UKMOUNSNIIWVR5 · pith_short_8: D7UKMOUN

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/D7UKMOUNSNIIWVR5S6YWZIGB6W \
  | 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: 1fe8a63a8d93508b563d97b16ca0c1f5a084af57a60ed5466331696fcf356767

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b51f74da8d8f91dd284e8deb194eccb572bee9171aee28c1d3cfab77c3030e3",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-25T23:55:27Z",
    "title_canon_sha256": "a2de641662bafd0f6dd53febd0ec47fea8c3e457c064b227860a21ea6e02ec80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5214",
    "kind": "arxiv",
    "version": 3
  }
}