Pith Number

pith:7AHSKL7O

pith:2013:7AHSKL7OXHU6NR5G5K7XXXINIE

not attested not anchored not stored refs pending

Graded integral closures

Fred Rohrer

arxiv:1302.1659 v2 · 2013-02-07 · 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{7AHSKL7OXHU6NR5G5K7XXXINIE}

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	2026-05-18T02:41:42.585858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f80f252feeb9e9e6c7a6eabf7bdd0d4122338fbf196301c82007a2ee9570b79e

Aliases

arxiv: 1302.1659 · arxiv_version: 1302.1659v2 · doi: 10.48550/arxiv.1302.1659 · pith_short_12: 7AHSKL7OXHU6 · pith_short_16: 7AHSKL7OXHU6NR5G · pith_short_8: 7AHSKL7O

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/7AHSKL7OXHU6NR5G5K7XXXINIE \
  | 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: f80f252feeb9e9e6c7a6eabf7bdd0d4122338fbf196301c82007a2ee9570b79e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07e4da91cb59bad20a81d8e245d427e8d098ca53800a4a46e2f02a32a5532d46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-02-07T07:59:41Z",
    "title_canon_sha256": "f9b07211d2082341e37928629fbda3b9cd92f91fc50cddc0c5feeba8aa9df356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1659",
    "kind": "arxiv",
    "version": 2
  }
}