Pith Number

pith:GNFN3G7W

pith:2012:GNFN3G7WABC6D2IDS6WGS6SXRD

not attested not anchored not stored refs pending

The separating variety for the basic representations of the additive group

Emilie Dufresne, Martin Kohls

arxiv:1201.5933 v1 · 2012-01-28 · 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{GNFN3G7WABC6D2IDS6WGS6SXRD}

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	2026-05-18T01:21:42.009366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

334add9bf60045e1e90397ac697a5788e7b38bb3824a94212b25b078c78a4c85

Aliases

arxiv: 1201.5933 · arxiv_version: 1201.5933v1 · doi: 10.48550/arxiv.1201.5933 · pith_short_12: GNFN3G7WABC6 · pith_short_16: GNFN3G7WABC6D2ID · pith_short_8: GNFN3G7W

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/GNFN3G7WABC6D2IDS6WGS6SXRD \
  | 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: 334add9bf60045e1e90397ac697a5788e7b38bb3824a94212b25b078c78a4c85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c41fcbf27bbec5bff798b38cd7ec4f44494a69d32b41b5979a70aa0f8467e7f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-01-28T07:43:13Z",
    "title_canon_sha256": "ba9869d4c0baf9c8dab6bb6b1da6a3f711a4cea685371a2b613efd2cdb6e746a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5933",
    "kind": "arxiv",
    "version": 1
  }
}