Pith Number

pith:MW4FBM3Y

pith:2013:MW4FBM3Y7ID6VTOJIZUM5SXEO5

not attested not anchored not stored refs pending

Frobenius nonclassical components of curves with separated variables

Herivelto Borges

arxiv:1311.4438 v1 · 2013-11-18 · 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{MW4FBM3Y7ID6VTOJIZUM5SXEO5}

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	2026-05-18T03:06:52.686882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65b850b378fa07eacdc94668cecae47741c59670c9ea29609926a4c6e1fd2633

Aliases

arxiv: 1311.4438 · arxiv_version: 1311.4438v1 · doi: 10.48550/arxiv.1311.4438 · pith_short_12: MW4FBM3Y7ID6 · pith_short_16: MW4FBM3Y7ID6VTOJ · pith_short_8: MW4FBM3Y

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/MW4FBM3Y7ID6VTOJIZUM5SXEO5 \
  | 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: 65b850b378fa07eacdc94668cecae47741c59670c9ea29609926a4c6e1fd2633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50e56c537e3d700fa994c21cb7e1303c06ace68671cf004083dd236aa3a30dfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-18T16:27:13Z",
    "title_canon_sha256": "282ccd5030586e024c0ce59f328e2c683e6fcdc0044ec6783661604d46c5e4aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4438",
    "kind": "arxiv",
    "version": 1
  }
}