Pith Number

pith:DC3CWUB4

pith:2008:DC3CWUB4ARLMYBW76QYGMHI7ON

not attested not anchored not stored refs pending

Global Dimension of Polynomial Rings in Partially Commuting Variables

Ahmet A. Husainov

arxiv:0809.4518 v1 · 2008-09-26 · math.CT · 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{DC3CWUB4ARLMYBW76QYGMHI7ON}

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	2026-05-18T04:24:36.414083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18b62b503c0456cc06dff430661d1f737af035194a284fedbb5d5bffa934cf2b

Aliases

arxiv: 0809.4518 · arxiv_version: 0809.4518v1 · doi: 10.48550/arxiv.0809.4518 · pith_short_12: DC3CWUB4ARLM · pith_short_16: DC3CWUB4ARLMYBW7 · pith_short_8: DC3CWUB4

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/DC3CWUB4ARLMYBW76QYGMHI7ON \
  | 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: 18b62b503c0456cc06dff430661d1f737af035194a284fedbb5d5bffa934cf2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d0398f05719c67ce1632aa78df86fe160d2e1fbe5f8d4edcdbc7c2262a1169c",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2008-09-26T03:30:35Z",
    "title_canon_sha256": "9ec19a6fe1b8f5eb94553dccd84b67c72bd6c7d7dbd984fb73cb31d31f99f3b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4518",
    "kind": "arxiv",
    "version": 1
  }
}