Pith Number

pith:D7QGENFK

pith:2010:D7QGENFK3EYHNUK4L3CFQLNPNN

not attested not anchored not stored refs pending

Maximal Modifications and Auslander-Reiten Duality for Non-isolated Singularities

Michael Wemyss, Osamu Iyama

arxiv:1007.1296 v4 · 2010-07-08 · math.AG · 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{D7QGENFK3EYHNUK4L3CFQLNPNN}

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	2026-05-18T03:07:12.428583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fe06234aad93076d15c5ec4582daf6b560634571629ab2631118084897cb526

Aliases

arxiv: 1007.1296 · arxiv_version: 1007.1296v4 · doi: 10.48550/arxiv.1007.1296 · pith_short_12: D7QGENFK3EYH · pith_short_16: D7QGENFK3EYHNUK4 · pith_short_8: D7QGENFK

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/D7QGENFK3EYHNUK4L3CFQLNPNN \
  | 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: 1fe06234aad93076d15c5ec4582daf6b560634571629ab2631118084897cb526

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e97538b0044d84dbcfe5c6ed9030ce159495ad62033bc7d9668a8fd947736c1",
    "cross_cats_sorted": [
      "math.AC",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-07-08T06:38:07Z",
    "title_canon_sha256": "93a5222a049a245f2f04c76926e9cc994f36017b33399d8b60f5b4f57ab26f2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1296",
    "kind": "arxiv",
    "version": 4
  }
}