Pith Number

pith:E3V6GZPU

pith:2014:E3V6GZPUK5RDSEHP33Y5CCNX5Z

not attested not anchored not stored refs pending

Diagonal Couplings of Quantum Markov Chains

Burkhard K\"ummerer, Kay Schwieger

arxiv:1402.2448 v1 · 2014-02-11 · 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{E3V6GZPUK5RDSEHP33Y5CCNX5Z}

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	2026-05-18T02:59:19.762550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26ebe365f457623910efdef1d109b7ee531be254986701ac7d4e2e72e67604ac

Aliases

arxiv: 1402.2448 · arxiv_version: 1402.2448v1 · doi: 10.48550/arxiv.1402.2448 · pith_short_12: E3V6GZPUK5RD · pith_short_16: E3V6GZPUK5RDSEHP · pith_short_8: E3V6GZPU

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/E3V6GZPUK5RDSEHP33Y5CCNX5Z \
  | 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: 26ebe365f457623910efdef1d109b7ee531be254986701ac7d4e2e72e67604ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3165db7435014d8d041d0e4feff31438d4fe5793b9648fd88472f7fd5209296a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-02-11T11:14:05Z",
    "title_canon_sha256": "c2e099584250eb683612821c40652b70ea255785cf556f63aa7aecd3a8848818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2448",
    "kind": "arxiv",
    "version": 1
  }
}