Pith Number

pith:LEKCDY5M

pith:2011:LEKCDY5M6T46253AMC2BFRWCDV

not attested not anchored not stored refs pending

An Index Theorem for Modules on a Hypersurface Singularity

Duco van Straten, Ragnar-Olaf Buchweitz

arxiv:1103.5574 v2 · 2011-03-29 · math.AG · 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{LEKCDY5M6T46253AMC2BFRWCDV}

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	2026-05-18T04:06:44.901513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

591421e3acf4f9ed776060b412c6c21d4c49f26fa1f3c2421b1f33ee3d62c1de

Aliases

arxiv: 1103.5574 · arxiv_version: 1103.5574v2 · doi: 10.48550/arxiv.1103.5574 · pith_short_12: LEKCDY5M6T46 · pith_short_16: LEKCDY5M6T46253A · pith_short_8: LEKCDY5M

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/LEKCDY5M6T46253AMC2BFRWCDV \
  | 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: 591421e3acf4f9ed776060b412c6c21d4c49f26fa1f3c2421b1f33ee3d62c1de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a843a42f580433c2559313733edd7ea7193fe47711472ddb08ba70713b827dc8",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-29T08:59:11Z",
    "title_canon_sha256": "3dc5a2e495e834996cb9c821d13e22c7b14829d822a2af8ac1cb9433f62c9415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5574",
    "kind": "arxiv",
    "version": 2
  }
}