Pith Number

pith:3KO2VU5G

pith:2016:3KO2VU5GF4BYN6BRJEVBPW5BCK

not attested not anchored not stored refs pending

Separability idempotents in C*-algebras

Alfons Van Daele, Byung-Jay Kahng

arxiv:1609.04132 v2 · 2016-09-14 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KO2VU5GF4BYN6BRJEVBPW5BCK}

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	2026-05-18T00:34:31.582900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da9daad3a62f0386f831492a17dba112aee00d8ce1aced8e1b675244ceb4b01d

Aliases

arxiv: 1609.04132 · arxiv_version: 1609.04132v2 · doi: 10.48550/arxiv.1609.04132 · pith_short_12: 3KO2VU5GF4BY · pith_short_16: 3KO2VU5GF4BYN6BR · pith_short_8: 3KO2VU5G

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/3KO2VU5GF4BYN6BRJEVBPW5BCK \
  | 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: da9daad3a62f0386f831492a17dba112aee00d8ce1aced8e1b675244ceb4b01d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3530136e5e5a4844016de1adff7d16250649edcd8b714760c316aa02b8bd1a89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-09-14T04:16:17Z",
    "title_canon_sha256": "2d909cf7d85d419532c7928718a00bbe2715f297b9da2ba361c8db7651097b84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04132",
    "kind": "arxiv",
    "version": 2
  }
}