Pith Number

pith:D5IVWW2P

pith:2015:D5IVWW2PWYLCVH2HTUUJKRBCJU

not attested not anchored not stored refs pending

The extension class and KMS states for Cuntz--Pimsner algebras of some bi-Hilbertian bimodules

Adam Rennie, Aidan Sims, David Robertson

arxiv:1501.05363 v2 · 2015-01-22 · math.KT · 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{D5IVWW2PWYLCVH2HTUUJKRBCJU}

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	2026-05-18T01:19:44.693144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f515b5b4fb6162a9f479d289544224d1cd18df4519726ccc7c9bf422209feb5

Aliases

arxiv: 1501.05363 · arxiv_version: 1501.05363v2 · doi: 10.48550/arxiv.1501.05363 · pith_short_12: D5IVWW2PWYLC · pith_short_16: D5IVWW2PWYLCVH2H · pith_short_8: D5IVWW2P

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/D5IVWW2PWYLCVH2HTUUJKRBCJU \
  | 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: 1f515b5b4fb6162a9f479d289544224d1cd18df4519726ccc7c9bf422209feb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad41b4abe6b1ba22f4363035c3b9d530d66c4f3449221c2fbb5de8a5fdebddb4",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-01-22T01:26:10Z",
    "title_canon_sha256": "239b63d665903f782e5cde23bcd13489a9e6360444c747c1ad5b654e376a121f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05363",
    "kind": "arxiv",
    "version": 2
  }
}