Pith Number

pith:MAFLB4GK

pith:2024:MAFLB4GKEUKUMYGAHADAATKF4Q

not attested not anchored not stored refs pending

$C^*$-algebras associated to directed graphs of groups, and models of Kirchberg algebras

Victor Wu

arxiv:2403.02849 v1 · 2024-03-05 · 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{MAFLB4GKEUKUMYGAHADAATKF4Q}

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	2026-07-05T07:52:23.316624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

600ab0f0ca25154660c03806004d45e4025662391c482043366e3d47cfd63560

Aliases

arxiv: 2403.02849 · arxiv_version: 2403.02849v1 · doi: 10.48550/arxiv.2403.02849 · pith_short_12: MAFLB4GKEUKU · pith_short_16: MAFLB4GKEUKUMYGA · pith_short_8: MAFLB4GK

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/MAFLB4GKEUKUMYGAHADAATKF4Q \
  | 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: 600ab0f0ca25154660c03806004d45e4025662391c482043366e3d47cfd63560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6824606054df6f468a04a577834ab1dcdd8d6393e4b4454a4580b430dc77d565",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-03-05T10:38:53Z",
    "title_canon_sha256": "f66e16115a1ef72c7b0f3b412b8216057cf84380ae15437bf43f56923b990ecc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.02849",
    "kind": "arxiv",
    "version": 1
  }
}