Pith Number

pith:TUXX4CGE

pith:2019:TUXX4CGEVUF3W4S3FFMHVY2RDA

not attested not anchored not stored refs pending

An Introduction to Abstract Classification Theory in the Operator Algebraic Setting

Patrick Fraser

arxiv:1907.05832 v1 · 2019-07-12 · math.OA · 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{TUXX4CGEVUF3W4S3FFMHVY2RDA}

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	2026-05-17T23:40:44.268727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d2f7e08c4ad0bbb725b29587ae351182db6d9fb192bd25235d8b17071e1bffc

Aliases

arxiv: 1907.05832 · arxiv_version: 1907.05832v1 · doi: 10.48550/arxiv.1907.05832 · pith_short_12: TUXX4CGEVUF3 · pith_short_16: TUXX4CGEVUF3W4S3 · pith_short_8: TUXX4CGE

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/TUXX4CGEVUF3W4S3FFMHVY2RDA \
  | 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: 9d2f7e08c4ad0bbb725b29587ae351182db6d9fb192bd25235d8b17071e1bffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5284f09424b248bc57d5fada4fac388fe901e55145827928dbf853131e10db1",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-07-12T16:43:17Z",
    "title_canon_sha256": "2ee4d9371d91b614507238d02c08e3ca84b979e4b61e7e34383db043013c146f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05832",
    "kind": "arxiv",
    "version": 1
  }
}