Pith Number

pith:D2J2KJKM

pith:2003:D2J2KJKM5W4EOV3OT6OW56ZBLA

not attested not anchored not stored refs pending

Factoring in Non-commutative Analytic Toeplitz Algebras

David W. Kribs

arxiv:math/0309382 v1 · 2003-09-23 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2J2KJKM5W4EOV3OT6OW56ZBLA}

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	2026-07-04T14:37:44.640948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e93a5254cedb847576e9f9d6efb215804595806e2a7328ca80447852e58f46a

Aliases

arxiv: math/0309382 · arxiv_version: math/0309382v1 · doi: 10.48550/arxiv.math/0309382 · pith_short_12: D2J2KJKM5W4E · pith_short_16: D2J2KJKM5W4EOV3O · pith_short_8: D2J2KJKM

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/D2J2KJKM5W4EOV3OT6OW56ZBLA \
  | 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: 1e93a5254cedb847576e9f9d6efb215804595806e2a7328ca80447852e58f46a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d37940d196e4e08a7d9afd4a67fa86288dab3035292bea2984c2dd982038b364",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2003-09-23T13:32:13Z",
    "title_canon_sha256": "17488ae0e4bc1a6647c6c50dfea5377c5274096b0172da4ee12da187aeb95ad1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309382",
    "kind": "arxiv",
    "version": 1
  }
}