Pith Number

pith:G4W2OMTS

pith:2005:G4W2OMTSIGT7WZI6B4MWQO5YTO

not attested not anchored not stored refs pending

Krull-Schmidt decompositions for thick subcategories

Sunil K. Chebolu

arxiv:math/0507181 v2 · 2005-07-08 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G4W2OMTSIGT7WZI6B4MWQO5YTO}

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	2026-05-18T04:32:09.907746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

372da7327241a7fb651e0f19683bb89b97e1239fe5585d9b06bc7fb5e4b30c33

Aliases

arxiv: math/0507181 · arxiv_version: math/0507181v2 · doi: 10.48550/arxiv.math/0507181 · pith_short_12: G4W2OMTSIGT7 · pith_short_16: G4W2OMTSIGT7WZI6 · pith_short_8: G4W2OMTS

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/G4W2OMTSIGT7WZI6B4MWQO5YTO \
  | 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: 372da7327241a7fb651e0f19683bb89b97e1239fe5585d9b06bc7fb5e4b30c33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8afb62610b2c17b0dde53886e957f6c286f45e9c6ef1c6bea4cbeeb5ca575d9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2005-07-08T17:42:12Z",
    "title_canon_sha256": "1c9b3b47e24bc1cc513a461e1dd0a9894d990d59e0ade2493f419bba2679de98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507181",
    "kind": "arxiv",
    "version": 2
  }
}