Pith Number

pith:SYSO67SN

pith:2012:SYSO67SNIPTIMVUDM2IKZNDYGS

not attested not anchored not stored refs pending

Artinian level algebras of low socle degree

Alessandro De Stefani

arxiv:1208.3506 v1 · 2012-08-16 · 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{SYSO67SNIPTIMVUDM2IKZNDYGS}

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	2026-05-18T03:48:35.039886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9624ef7e4d43e68656836690acb478348ce9032e092412040d79223c714fd285

Aliases

arxiv: 1208.3506 · arxiv_version: 1208.3506v1 · doi: 10.48550/arxiv.1208.3506 · pith_short_12: SYSO67SNIPTI · pith_short_16: SYSO67SNIPTIMVUD · pith_short_8: SYSO67SN

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/SYSO67SNIPTIMVUDM2IKZNDYGS \
  | 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: 9624ef7e4d43e68656836690acb478348ce9032e092412040d79223c714fd285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba25ea8b798677444962018d746c2060b5c458e74ffea07c6552ec905bfcf100",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-08-16T22:41:41Z",
    "title_canon_sha256": "074847149257c67b96f0c24d75ce4580284429d41f55308bcb20e8b91d8e5558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3506",
    "kind": "arxiv",
    "version": 1
  }
}