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Pith Number

pith:2RLRADIE

pith:2014:2RLRADIE24H3O7AEAQ6TTTJ5TU
not attested not anchored not stored refs pending

Lower and upper probabilities in the distributive lattice of subsystems

A. Vourdas

arxiv:1410.2040 v1 · 2014-10-08 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2RLRADIE24H3O7AEAQ6TTTJ5TU}

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 2026-05-18T01:41:50.056528Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d457100d04d70fb77c04043d39cd3d9d226716cb444f1acf1b964da6cc7769cc

Aliases

arxiv: 1410.2040 · arxiv_version: 1410.2040v1 · doi: 10.48550/arxiv.1410.2040 · pith_short_12: 2RLRADIE24H3 · pith_short_16: 2RLRADIE24H3O7AE · pith_short_8: 2RLRADIE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2RLRADIE24H3O7AEAQ6TTTJ5TU \
  | 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: d457100d04d70fb77c04043d39cd3d9d226716cb444f1acf1b964da6cc7769cc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1314ede8314cc7a25346ababcbb9147e814a2fc29a03ab17010da39d86113616",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-10-08T09:52:09Z",
    "title_canon_sha256": "a978b5d1e2d80bd00826e69f9e8af33def88ad6c2385d55b162e63e3ebd3b03b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2040",
    "kind": "arxiv",
    "version": 1
  }
}