Pith Number

pith:4OEYAGT3

pith:2013:4OEYAGT3N5PEMS5GTPAY6G5J7B

not attested not anchored not stored refs pending

Dual F-signature of special Cohen-Macaulay modules over cyclic quotient surface singularities

Yusuke Nakajima

arxiv:1311.5967 v3 · 2013-11-23 · math.AC · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OEYAGT3N5PEMS5GTPAY6G5J7B}

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	2026-05-18T01:23:50.997290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e389801a7b6f5e464ba69bc18f1ba9f86613028ada1c68ee41802d8c70d8855a

Aliases

arxiv: 1311.5967 · arxiv_version: 1311.5967v3 · doi: 10.48550/arxiv.1311.5967 · pith_short_12: 4OEYAGT3N5PE · pith_short_16: 4OEYAGT3N5PEMS5G · pith_short_8: 4OEYAGT3

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/4OEYAGT3N5PEMS5GTPAY6G5J7B \
  | 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: e389801a7b6f5e464ba69bc18f1ba9f86613028ada1c68ee41802d8c70d8855a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b70feb52e2fad39a8413c738493311c79f3949921db82be41998f27d4731bd7d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-11-23T07:13:10Z",
    "title_canon_sha256": "e756c2c429fe24fccd2eb11bcebc5de45f490c5976e139334bc8fc0b949d2054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5967",
    "kind": "arxiv",
    "version": 3
  }
}