Pith Number

pith:3UPYVNZD

pith:2018:3UPYVNZDRPGV4SXO2BPNBUW5R6

not attested not anchored not stored refs pending

Pullbacks of graph C*-algebras from admissible pushouts of graphs

Mariusz Tobolski, Piotr M. Hajac, Sarah Reznikoff

arxiv:1811.00100 v4 · 2018-10-31 · math.OA · 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{3UPYVNZDRPGV4SXO2BPNBUW5R6}

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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.

Cited by

1 paper in Pith

On the K-theory of the AF core of a graph C*-algebra

Receipt and verification

First computed	2026-05-17T23:44:30.045626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd1f8ab7238bcd5e4aeed05ed0d2dd8f992e1476202695e54883454cfe55edf6

Aliases

arxiv: 1811.00100 · arxiv_version: 1811.00100v4 · doi: 10.48550/arxiv.1811.00100 · pith_short_12: 3UPYVNZDRPGV · pith_short_16: 3UPYVNZDRPGV4SXO · pith_short_8: 3UPYVNZD

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/3UPYVNZDRPGV4SXO2BPNBUW5R6 \
  | 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: dd1f8ab7238bcd5e4aeed05ed0d2dd8f992e1476202695e54883454cfe55edf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e978e91f31185281c7d179ef956433d76077ba083e1be2e6989183c7a5f5130a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-10-31T20:20:38Z",
    "title_canon_sha256": "e6d684b178b8b2f5e986c95ceec0d1af0b0e720cd29e0145551810674152675f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00100",
    "kind": "arxiv",
    "version": 4
  }
}