Pith Number

pith:PIHOIOXL

pith:2017:PIHOIOXL7A2FKBVHPAOTET2ACZ

not attested not anchored not stored refs pending

Full Cuntz-Krieger dilations via non-commutative boundaries

Adam Dor-On, Guy Salomon

arxiv:1702.04308 v3 · 2017-02-14 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIHOIOXL7A2FKBVHPAOTET2ACZ}

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	2026-05-18T00:14:47.677895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a0ee43aebf8345506a7781d324f401655569637080a6f4163aec0a01d21df8a

Aliases

arxiv: 1702.04308 · arxiv_version: 1702.04308v3 · doi: 10.48550/arxiv.1702.04308 · pith_short_12: PIHOIOXL7A2F · pith_short_16: PIHOIOXL7A2FKBVH · pith_short_8: PIHOIOXL

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/PIHOIOXL7A2FKBVHPAOTET2ACZ \
  | 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: 7a0ee43aebf8345506a7781d324f401655569637080a6f4163aec0a01d21df8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c88a703df2b5052a535edf37e75bf5b8a43c4c029039f61be1ba407d98b4936",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-02-14T17:39:13Z",
    "title_canon_sha256": "938b6679061c8664ee2bda4469330083597077ac915ea46989ed013c766f3b57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04308",
    "kind": "arxiv",
    "version": 3
  }
}