Pith Number

pith:AIIKUIKA

pith:2012:AIIKUIKA4YDVP5KZQP3AU5RKUN

not attested not anchored not stored refs pending

New free divisors from old

Aldo Conca, Ragnar-Olaf Buchweitz

arxiv:1211.4327 v1 · 2012-11-19 · 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{AIIKUIKA4YDVP5KZQP3AU5RKUN}

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	2026-05-18T03:40:27.274384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0210aa2140e60757f55983f60a762aa35d866ac2a0c27be5448cab2f237cfa7b

Aliases

arxiv: 1211.4327 · arxiv_version: 1211.4327v1 · doi: 10.48550/arxiv.1211.4327 · pith_short_12: AIIKUIKA4YDV · pith_short_16: AIIKUIKA4YDVP5KZ · pith_short_8: AIIKUIKA

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/AIIKUIKA4YDVP5KZQP3AU5RKUN \
  | 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: 0210aa2140e60757f55983f60a762aa35d866ac2a0c27be5448cab2f237cfa7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d61bd5d6a689e5449408ef67ef8eda10a50f1e8bac8109983c1451a06299233",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-11-19T08:12:52Z",
    "title_canon_sha256": "4e2b1eca8372c3dae3bb932e243f86caf80606d9b98b5158add1fe901593fdd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4327",
    "kind": "arxiv",
    "version": 1
  }
}