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Pith Number

pith:6ZP4YOBV

pith:2017:6ZP4YOBVYH56GODRKYZI7Y6XSN
not attested not anchored not stored refs pending

Graded C*-algebras, graded K-theory, and twisted P-graph C*-algebras

Aidan Sims, Alex Kumjian, David Pask

arxiv:1706.00563 v1 · 2017-06-02 · math.OA · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?
Add to your LaTeX paper 
\usepackage{pith}
\pithnumber{6ZP4YOBVYH56GODRKYZI7Y6XSN}

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 2026-05-18T00:43:12.719471Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f65fcc3835c1fbe3387156328fe3d7935bab9ea56ed4f4f6413e45adffc57c5d

Aliases

arxiv: 1706.00563 · arxiv_version: 1706.00563v1 · doi: 10.48550/arxiv.1706.00563 · pith_short_12: 6ZP4YOBVYH56 · pith_short_16: 6ZP4YOBVYH56GODR · pith_short_8: 6ZP4YOBV
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/6ZP4YOBVYH56GODRKYZI7Y6XSN \
  | 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: f65fcc3835c1fbe3387156328fe3d7935bab9ea56ed4f4f6413e45adffc57c5d
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "209ccdf94668c5cc2bccbe91192eba7a72989ba6f1d3df6c2c86d1e0f8416cc1",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-06-02T06:02:01Z",
    "title_canon_sha256": "d786141a9754e85297ed04730b434251899b408f2118877284d1a244fcfb3942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00563",
    "kind": "arxiv",
    "version": 1
  }
}