Pith Number

pith:GK4UISWH

pith:2011:GK4UISWHC2LYGUX6WP74QLO3CK

not attested not anchored not stored refs pending

Dagger closure in regular rings containing a field

Axel St\"abler, Holger Brenner

arxiv:1103.1786 v3 · 2011-03-09 · 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{GK4UISWHC2LYGUX6WP74QLO3CK}

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	2026-05-18T03:48:45.194277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32b9444ac716978352feb3ffc82ddb129cb535a5c66f3100a2805f48e260c381

Aliases

arxiv: 1103.1786 · arxiv_version: 1103.1786v3 · doi: 10.48550/arxiv.1103.1786 · pith_short_12: GK4UISWHC2LY · pith_short_16: GK4UISWHC2LYGUX6 · pith_short_8: GK4UISWH

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/GK4UISWHC2LYGUX6WP74QLO3CK \
  | 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: 32b9444ac716978352feb3ffc82ddb129cb535a5c66f3100a2805f48e260c381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27fa746ce4698d5ac729fa8969c91e14a41fa522deecf08df1fbc4488bc7ad34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-03-09T14:03:04Z",
    "title_canon_sha256": "4f2b535170a0d35aadd65bad0bef068f03df5aceb17da92fcdcdeda206230962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1786",
    "kind": "arxiv",
    "version": 3
  }
}