Pith Number

pith:C42NO46E

pith:1997:C42NO46EAGGXMLRCJPN6ZLHRRC

not attested not anchored not stored refs pending

All Abelian Quotient C.I.-Singularities Admit Projective Crepant Resolutions in All Dimensions

Dimitrios I. Dais, Guenter M. Ziegler, Martin Henk

arxiv:alg-geom/9704007 v1 · 1997-04-10 · alg-geom · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C42NO46EAGGXMLRCJPN6ZLHRRC}

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	2026-07-04T15:08:08.425730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1734d773c4018d762e224bdbecacf1888207cd3732dd8d8ee3e65f360c762ccd

Aliases

arxiv: alg-geom/9704007 · arxiv_version: alg-geom/9704007v1 · doi: 10.48550/arxiv.alg-geom/9704007 · pith_short_12: C42NO46EAGGX · pith_short_16: C42NO46EAGGXMLRC · pith_short_8: C42NO46E

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/C42NO46EAGGXMLRCJPN6ZLHRRC \
  | 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: 1734d773c4018d762e224bdbecacf1888207cd3732dd8d8ee3e65f360c762ccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d380f56b5d102eb511f3282d14b25baf6cab01c38ca1d22e29ad65054e7c9f0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1997-04-10T11:28:15Z",
    "title_canon_sha256": "a3496f1e0651db240c30fa67591601c69810b6c9cae9268083c00623724b74e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9704007",
    "kind": "arxiv",
    "version": 1
  }
}