Pith Number

pith:KUOYDOZ5

pith:2005:KUOYDOZ5RIPCEDIHSPA4URBQHV

not attested not anchored not stored refs pending

Lyubeznik's invariants for cohomologically isolated singularities

Manuel Blickle

arxiv:math/0506058 v1 · 2005-06-03 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KUOYDOZ5RIPCEDIHSPA4URBQHV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:28:28.568190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

551d81bb3d8a1e220d0793c1ca44303d4c40fded9df6333c83353e41013861c3

Aliases

arxiv: math/0506058 · arxiv_version: math/0506058v1 · doi: 10.48550/arxiv.math/0506058 · pith_short_12: KUOYDOZ5RIPC · pith_short_16: KUOYDOZ5RIPCEDIH · pith_short_8: KUOYDOZ5

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/KUOYDOZ5RIPCEDIHSPA4URBQHV \
  | 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: 551d81bb3d8a1e220d0793c1ca44303d4c40fded9df6333c83353e41013861c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0d51a9ac6ef7a22bdebeda54ec94a56b84fb530bebc15bdce287d99a31e7cd3",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-06-03T07:26:59Z",
    "title_canon_sha256": "5e71f3b56b98eb20df0eb8c459cc67ec107fff3b86521de9318acb52b3f2f61c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506058",
    "kind": "arxiv",
    "version": 1
  }
}