Pith Number

pith:BWWQC5QZ

pith:2008:BWWQC5QZTSM72UZOJQ727EZKWN

not attested not anchored not stored refs pending

Dimension and singularity theory for local rings of finite embedding dimension

Hans Schoutens

arxiv:0809.5267 v1 · 2008-09-30 · math.AC · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWWQC5QZTSM72UZOJQ727EZKWN}

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	2026-05-18T02:44:23.843435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dad0176199c99fd532e4c3faf932ab37b7fef1a26c2637e64fa2168e1482215

Aliases

arxiv: 0809.5267 · arxiv_version: 0809.5267v1 · doi: 10.48550/arxiv.0809.5267 · pith_short_12: BWWQC5QZTSM7 · pith_short_16: BWWQC5QZTSM72UZO · pith_short_8: BWWQC5QZ

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/BWWQC5QZTSM72UZOJQ727EZKWN \
  | 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: 0dad0176199c99fd532e4c3faf932ab37b7fef1a26c2637e64fa2168e1482215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61ae8b5f1b35c70af0f92fcfbc26c7641cb1dd5341151827e2b2da0a6dcf390a",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2008-09-30T17:59:32Z",
    "title_canon_sha256": "9ddde48c0231918d649ec7c00b4c76abfabf36a299aff96cec3e2cea6886f33a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.5267",
    "kind": "arxiv",
    "version": 1
  }
}