Pith Number

pith:U5O6UPKE

pith:2025:U5O6UPKEDWWQRRIDZ3T5JBL3KA

not attested not anchored not stored refs pending

On higher Du Bois singularities and $K$-regularity

Wanchun Shen

arxiv:2504.12402 v3 · 2025-04-16 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5O6UPKEDWWQRRIDZ3T5JBL3KA}

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	2026-06-23T02:13:15.039519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a75dea3d441dad08c503cee7d4857b50242954a295719d30e6293c6927650246

Aliases

arxiv: 2504.12402 · arxiv_version: 2504.12402v3 · doi: 10.48550/arxiv.2504.12402 · pith_short_12: U5O6UPKEDWWQ · pith_short_16: U5O6UPKEDWWQRRID · pith_short_8: U5O6UPKE

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/U5O6UPKEDWWQRRIDZ3T5JBL3KA \
  | 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: a75dea3d441dad08c503cee7d4857b50242954a295719d30e6293c6927650246

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e5ab799d41d5b3248437793f00a5fc4c6af0df24c6a4ddbeeca00fcc77b0857",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-04-16T18:06:55Z",
    "title_canon_sha256": "4878f0429ae676119f74ff4766e149e309545c95716b45aaa3301d6023bae5a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.12402",
    "kind": "arxiv",
    "version": 3
  }
}