Pith Number

pith:KF5NESJ6

pith:2012:KF5NESJ62NMCJBZU6NNMXNUAQC

not attested not anchored not stored refs pending

The Proportion of Weierstrass Semigroups

Lynnelle Ye, Nathan Kaplan

arxiv:1202.6331 v2 · 2012-02-28 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KF5NESJ62NMCJBZU6NNMXNUAQC}

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	2026-05-18T00:42:40.065913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

517ad2493ed358248734f35acbb680808ac93eb4ded6218382e4564190716857

Aliases

arxiv: 1202.6331 · arxiv_version: 1202.6331v2 · doi: 10.48550/arxiv.1202.6331 · pith_short_12: KF5NESJ62NMC · pith_short_16: KF5NESJ62NMCJBZU · pith_short_8: KF5NESJ6

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/KF5NESJ62NMCJBZU6NNMXNUAQC \
  | 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: 517ad2493ed358248734f35acbb680808ac93eb4ded6218382e4564190716857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e170beaf42c5d2fd930ea2c3bfbca10aa7882c7cf3427efa3e7bbcf5fe7dfb",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-28T19:38:04Z",
    "title_canon_sha256": "d70aa97ba42b5723a5159491894a23e293ad42913e2d80ce14793db682baaba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6331",
    "kind": "arxiv",
    "version": 2
  }
}