Pith Number

pith:4N4EMMAD

pith:2011:4N4EMMADFHLGZDH4UNPVYNTZ35

not attested not anchored not stored refs pending

The non-nef locus in positive characteristic

Mircea Mustata

arxiv:1109.3825 v2 · 2011-09-18 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4N4EMMADFHLGZDH4UNPVYNTZ35}

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	2026-05-18T03:56:45.079677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e37846300329d66c8cfca35f5c3679df71b78a9e2863172073ba1affc627f4a9

Aliases

arxiv: 1109.3825 · arxiv_version: 1109.3825v2 · doi: 10.48550/arxiv.1109.3825 · pith_short_12: 4N4EMMADFHLG · pith_short_16: 4N4EMMADFHLGZDH4 · pith_short_8: 4N4EMMAD

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/4N4EMMADFHLGZDH4UNPVYNTZ35 \
  | 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: e37846300329d66c8cfca35f5c3679df71b78a9e2863172073ba1affc627f4a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebe6c0a0d159ee39bf3f6ab1c84c59f9f4d7ccb9d0b61b16358ecef0647aef10",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-18T00:46:58Z",
    "title_canon_sha256": "b0029f777a30e122ff68f94f09f6f035a93156b8aac34648ad1cfe73303f7842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3825",
    "kind": "arxiv",
    "version": 2
  }
}