Pith Number

pith:65B5UWZ6

pith:2016:65B5UWZ67XPM4RZY3N7SL67MHF

not attested not anchored not stored refs pending

C*-envelopes of tensor algebras arising from stochastic matrices

Adam Dor-On, Daniel Markiewicz

arxiv:1605.03543 v2 · 2016-05-11 · 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{65B5UWZ67XPM4RZY3N7SL67MHF}

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	2026-05-18T01:03:19.030393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f743da5b3efddece4738db7f25fbec397893441ad03cf0153148cfa1f87d24b5

Aliases

arxiv: 1605.03543 · arxiv_version: 1605.03543v2 · doi: 10.48550/arxiv.1605.03543 · pith_short_12: 65B5UWZ67XPM · pith_short_16: 65B5UWZ67XPM4RZY · pith_short_8: 65B5UWZ6

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/65B5UWZ67XPM4RZY3N7SL67MHF \
  | 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: f743da5b3efddece4738db7f25fbec397893441ad03cf0153148cfa1f87d24b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d9109a0d9b6c417fab810b3415634509b3dca724c2e4e1b91f5214e642f3d64",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-05-11T18:50:36Z",
    "title_canon_sha256": "fa76b686433a5bc88c16a1bba0d4eead6b7371939b54bb8f81b2f2c176b94810"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03543",
    "kind": "arxiv",
    "version": 2
  }
}