Pith Number

pith:NNOODLCC

pith:2011:NNOODLCCMJUOL5GFCI2NOYFPDH

not attested not anchored not stored refs pending

An algorithm for computing compatibly Frobenius split subvarieties

Karl Schwede, Mordechai Katzman

arxiv:1104.1937 v3 · 2011-04-11 · math.AC · 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{NNOODLCCMJUOL5GFCI2NOYFPDH}

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	2026-05-18T03:54:37.753301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b5ce1ac426268e5f4c51234d760af19c36919150ae3e05a9b67fab074fdb6fe

Aliases

arxiv: 1104.1937 · arxiv_version: 1104.1937v3 · doi: 10.48550/arxiv.1104.1937 · pith_short_12: NNOODLCCMJUO · pith_short_16: NNOODLCCMJUOL5GF · pith_short_8: NNOODLCC

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/NNOODLCCMJUOL5GFCI2NOYFPDH \
  | 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: 6b5ce1ac426268e5f4c51234d760af19c36919150ae3e05a9b67fab074fdb6fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2d76ec4193b9b8bc413cb57d0154843098b11252653fb4dbf38b9529b45bfa9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-04-11T13:21:18Z",
    "title_canon_sha256": "598e499f0f8c38fe1e3161008ee11fa86392d807d8b1028823beea6a8f365c3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1937",
    "kind": "arxiv",
    "version": 3
  }
}