Pith Number

pith:MF7AVQOE

pith:2012:MF7AVQOEHJCOHCWAOPHJH7QOU2

not attested not anchored not stored refs pending

A Frobenius variant of Seshadri constants

Karl Schwede, Mircea Mustata

arxiv:1203.1081 v1 · 2012-03-06 · 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{MF7AVQOEHJCOHCWAOPHJH7QOU2}

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	2026-05-18T02:52:42.411255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

617e0ac1c43a44e38ac073ce93fe0ea68aa4a8ae68c54bc8edeaa54ba372f4df

Aliases

arxiv: 1203.1081 · arxiv_version: 1203.1081v1 · doi: 10.48550/arxiv.1203.1081 · pith_short_12: MF7AVQOEHJCO · pith_short_16: MF7AVQOEHJCOHCWA · pith_short_8: MF7AVQOE

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/MF7AVQOEHJCOHCWAOPHJH7QOU2 \
  | 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: 617e0ac1c43a44e38ac073ce93fe0ea68aa4a8ae68c54bc8edeaa54ba372f4df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feee07cda5acb2c7d73f0d3e0e7405f0563db3c4d5e9a335a00f0f5c9af25195",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-06T01:31:36Z",
    "title_canon_sha256": "a25ff4bd56ae9f24034ba71d0f96d98f7f8b60e8a47c6efcc14dcc24d090f62a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1081",
    "kind": "arxiv",
    "version": 1
  }
}