Pith Number

pith:U2IDHC2H

pith:2001:U2IDHC2HKICJTGL4RISJB26M3Z

not attested not anchored not stored refs pending

Cohomology ring of crepant resolutions of orbifolds

Yongbin Ruan

arxiv:math/0108195 v2 · 2001-08-29 · math.AG · hep-th · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2IDHC2HKICJTGL4RISJB26M3Z}

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.

Cited by

1 paper in Pith

Non-commutative resolutions and pre-quotients of Calabi-Yau double covers

Receipt and verification

First computed	2026-07-04T14:35:29.866744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a690338b47520499997c8a2490ebccde4f3e03e6ceb5b98cb02be0200b7539c0

Aliases

arxiv: math/0108195 · arxiv_version: math/0108195v2 · doi: 10.48550/arxiv.math/0108195 · pith_short_12: U2IDHC2HKICJ · pith_short_16: U2IDHC2HKICJTGL4 · pith_short_8: U2IDHC2H

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/U2IDHC2HKICJTGL4RISJB26M3Z \
  | 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: a690338b47520499997c8a2490ebccde4f3e03e6ceb5b98cb02be0200b7539c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b7ef3e8e7d30e4f3ccb2e14d4c225c64c32a7472cf235f72c5c06e56fcc32f5",
    "cross_cats_sorted": [
      "hep-th",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-08-29T02:39:03Z",
    "title_canon_sha256": "8d63f0f5fc67de54801282666c026456c7b4945e85d68a219ba33584809c85e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0108195",
    "kind": "arxiv",
    "version": 2
  }
}