Pith Number

pith:UGPWKVHX

pith:2015:UGPWKVHXROMNDYV7TG27J3RFCB

not attested not anchored not stored refs pending

Ulrich modules over cyclic quotient surface singularities

Ken-ichi Yoshida, Yusuke Nakajima

arxiv:1504.07688 v3 · 2015-04-29 · math.AC · math.AG · 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{UGPWKVHXROMNDYV7TG27J3RFCB}

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	2026-05-18T00:46:55.990971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a19f6554f78b98d1e2bf99b5f4ee25104525ec9e035ed3adeeb7c0d0e0093c9f

Aliases

arxiv: 1504.07688 · arxiv_version: 1504.07688v3 · doi: 10.48550/arxiv.1504.07688 · pith_short_12: UGPWKVHXROMN · pith_short_16: UGPWKVHXROMNDYV7 · pith_short_8: UGPWKVHX

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/UGPWKVHXROMNDYV7TG27J3RFCB \
  | 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: a19f6554f78b98d1e2bf99b5f4ee25104525ec9e035ed3adeeb7c0d0e0093c9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7ed5903ed55f2b69c4bce9308522be2a550690ff4f763752465d87548081c0b",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-04-29T00:45:29Z",
    "title_canon_sha256": "8c2be292560355e2c63e8f1170599979232c85e5781721aa1ad1592755aa2450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07688",
    "kind": "arxiv",
    "version": 3
  }
}