Pith Number

pith:MY35K3KO

pith:2012:MY35K3KO2I333VITME7QEQMKTD

not attested not anchored not stored refs pending

Bounds for the Multiplicity of Gorenstein algebras

Hema Srinivasan, Manoj Kummini, Sabine El Khoury

arxiv:1211.1316 v1 · 2012-11-06 · 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{MY35K3KO2I333VITME7QEQMKTD}

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	2026-05-18T03:41:21.854063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6637d56d4ed237bdd513613f02418a98e1354ec62386c3e88d664de90f61e29d

Aliases

arxiv: 1211.1316 · arxiv_version: 1211.1316v1 · doi: 10.48550/arxiv.1211.1316 · pith_short_12: MY35K3KO2I33 · pith_short_16: MY35K3KO2I333VIT · pith_short_8: MY35K3KO

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/MY35K3KO2I333VITME7QEQMKTD \
  | 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: 6637d56d4ed237bdd513613f02418a98e1354ec62386c3e88d664de90f61e29d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fbf745e6830fbc8556717a4c0410aa64995a79a11314475042d92aa75c00a7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-11-06T17:23:28Z",
    "title_canon_sha256": "bc7e8f390a786411bfcdc389b2ac5ab06bafd841f38dd7207b20e1b62acb85d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1316",
    "kind": "arxiv",
    "version": 1
  }
}