Pith Number

pith:ZDWXXKRK

pith:2014:ZDWXXKRKBPHPW4N2PDO5IA5DR4

not attested not anchored not stored refs pending

Operator algebras and subproduct systems arising from stochastic matrices

Adam Dor-On, Daniel Markiewicz

arxiv:1401.7032 v1 · 2014-01-27 · 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{ZDWXXKRKBPHPW4N2PDO5IA5DR4}

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	2026-05-18T00:58:04.708538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8ed7baa2a0bcefb71ba78ddd403a38f2c6f9ccb687616e83653eb68378a7f00

Aliases

arxiv: 1401.7032 · arxiv_version: 1401.7032v1 · doi: 10.48550/arxiv.1401.7032 · pith_short_12: ZDWXXKRKBPHP · pith_short_16: ZDWXXKRKBPHPW4N2 · pith_short_8: ZDWXXKRK

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/ZDWXXKRKBPHPW4N2PDO5IA5DR4 \
  | 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: c8ed7baa2a0bcefb71ba78ddd403a38f2c6f9ccb687616e83653eb68378a7f00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e5ee0c8542541ba5658def60f54af3fd9f409c1058c232e54abe5132152f507",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-01-27T21:44:53Z",
    "title_canon_sha256": "a446d3a47e1292437cac82e1d3880bcb5351b2d3de4dc8efc6e1fad3a9be1e95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7032",
    "kind": "arxiv",
    "version": 1
  }
}