Pith Number

pith:2D3MMWPU

pith:2025:2D3MMWPU5UQS7YYVOSFYTYY624

not attested not anchored not stored refs pending

The singularity category as a stable module category

Xiao-Wu Chen, Zhengfang Wang

arxiv:2509.01056 v1 · 2025-09-01 · math.RT · math.AC · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2D3MMWPU5UQS7YYVOSFYTYY624}

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

Lectures on singularity categories

Receipt and verification

First computed	2026-07-05T12:02:52.752579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0f6c659f4ed212fe315748b89e31ed70a184b16be439e59ccfa60b9143efdf3

Aliases

arxiv: 2509.01056 · arxiv_version: 2509.01056v1 · doi: 10.48550/arxiv.2509.01056 · pith_short_12: 2D3MMWPU5UQS · pith_short_16: 2D3MMWPU5UQS7YYV · pith_short_8: 2D3MMWPU

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/2D3MMWPU5UQS7YYVOSFYTYY624 \
  | 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: d0f6c659f4ed212fe315748b89e31ed70a184b16be439e59ccfa60b9143efdf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad6ab5fddc5a92046882f100b155822f9fd5bcd87f06c3f0defc82c8fc26bb19",
    "cross_cats_sorted": [
      "math.AC",
      "math.CT",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-09-01T01:50:00Z",
    "title_canon_sha256": "292bbc48c16e39dceb401d012d24064d22ee2e143c3aee1ebe8f2f9c33502f44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01056",
    "kind": "arxiv",
    "version": 1
  }
}