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Pith Number

pith:R3I3CIZQ

pith:2013:R3I3CIZQOSFP4ACXGOMYKX6QH2
not attested not anchored not stored refs pending

Probabilistic-valued decomposable set functions with respect to triangle functions

Jana Moln\'arov\'a, Lenka Hal\v{c}inov\'a, Ondrej Hutn\'ik

arxiv:1309.5628 v2 · 2013-09-22 · math.PR · math.CA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{R3I3CIZQOSFP4ACXGOMYKX6QH2}

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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 2026-05-18T02:34:45.091794Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8ed1b12330748afe00573399855fd03ea69471a13b9a74db5d95ae9a63b5e1bf

Aliases

arxiv: 1309.5628 · arxiv_version: 1309.5628v2 · doi: 10.48550/arxiv.1309.5628 · pith_short_12: R3I3CIZQOSFP · pith_short_16: R3I3CIZQOSFP4ACX · pith_short_8: R3I3CIZQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/R3I3CIZQOSFP4ACXGOMYKX6QH2 \
  | 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: 8ed1b12330748afe00573399855fd03ea69471a13b9a74db5d95ae9a63b5e1bf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5db262f6d6883382259ebb75f75df498d89c739c7e900ceda76320c8c5284ca8",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-22T18:33:17Z",
    "title_canon_sha256": "db9b9bd0a138895c091e82b87e1d6c6ae73c242729cfccb827b17aa9c59408ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5628",
    "kind": "arxiv",
    "version": 2
  }
}