Pith Number

pith:MJRONRS3

pith:2010:MJRONRS35ND7FJZIG7TNPLWVB2

not attested not anchored not stored refs pending

Laudal's Lemma in positive characteristic

Paola Bonacini

arxiv:1009.4017 v1 · 2010-09-21 · 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{MJRONRS35ND7FJZIG7TNPLWVB2}

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	2026-05-18T04:40:34.702522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6262e6c65beb47f2a72837e6d7aed50e855abe5873643a437d7d9cb8001b337f

Aliases

arxiv: 1009.4017 · arxiv_version: 1009.4017v1 · doi: 10.48550/arxiv.1009.4017 · pith_short_12: MJRONRS35ND7 · pith_short_16: MJRONRS35ND7FJZI · pith_short_8: MJRONRS3

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/MJRONRS35ND7FJZIG7TNPLWVB2 \
  | 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: 6262e6c65beb47f2a72837e6d7aed50e855abe5873643a437d7d9cb8001b337f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce6a19ee530a392617bcd869ab3ca43949b4b315fcce45f835098e3b3173d9e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-21T08:19:47Z",
    "title_canon_sha256": "ab400d63d78f2bea1e5ea3e1d1fe91008dac9dffe1ec0c75c3016eac2141a4f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4017",
    "kind": "arxiv",
    "version": 1
  }
}