Pith Number

pith:DDON6FEN

pith:2013:DDON6FENBSNAD5QAB2NQVCBXAX

not attested not anchored not stored refs pending

Korovkin-type properties for completely positive maps

Craig Kleski

arxiv:1310.7266 v2 · 2013-10-27 · 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{DDON6FENBSNAD5QAB2NQVCBXAX}

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	2026-05-18T02:03:55.774309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18dcdf148d0c9a01f6000e9b0a883705f2384a950fe3b9fd3c4897a1465763b5

Aliases

arxiv: 1310.7266 · arxiv_version: 1310.7266v2 · doi: 10.48550/arxiv.1310.7266 · pith_short_12: DDON6FENBSNA · pith_short_16: DDON6FENBSNAD5QA · pith_short_8: DDON6FEN

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/DDON6FENBSNAD5QAB2NQVCBXAX \
  | 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: 18dcdf148d0c9a01f6000e9b0a883705f2384a950fe3b9fd3c4897a1465763b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa454a0a49fcf8ce59f9c3412f2a506932e98f7afbb7ccafa2c51a80b201ef1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-10-27T22:57:35Z",
    "title_canon_sha256": "110339f4f98591dad619dda995fc200304d472c25be480471c16a47be682a6a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7266",
    "kind": "arxiv",
    "version": 2
  }
}