Pith Number

pith:POFKLD4M

pith:2009:POFKLD4MLOZRB3ICBN2GBH7FEA

not attested not anchored not stored refs pending

On the Azumaya locus of almost commutative algebras

Akaki Tikaradze

arxiv:0912.0307 v3 · 2009-12-02 · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{POFKLD4MLOZRB3ICBN2GBH7FEA}

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	2026-05-18T01:11:36.752964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b8aa58f8c5bb310ed020b74609fe5203940568824b2d4523b01086bc2b88285

Aliases

arxiv: 0912.0307 · arxiv_version: 0912.0307v3 · doi: 10.48550/arxiv.0912.0307 · pith_short_12: POFKLD4MLOZR · pith_short_16: POFKLD4MLOZRB3IC · pith_short_8: POFKLD4M

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/POFKLD4MLOZRB3ICBN2GBH7FEA \
  | 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: 7b8aa58f8c5bb310ed020b74609fe5203940568824b2d4523b01086bc2b88285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80a20ba479f77a894582f68ceb48fb32069f9e80a3292420ea3b847ab74dd37a",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-12-02T00:25:05Z",
    "title_canon_sha256": "204ea020dadad0db006d91d67b2a12434f8a0585eed87ff6d614c247e83c6a2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0307",
    "kind": "arxiv",
    "version": 3
  }
}