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Pith Number

pith:UO4E7MFG

pith:2011:UO4E7MFGW7UGVZDJBJ5QBS3NGK
not attested not anchored not stored refs pending

Fuzzy Prokhorov metric on the set of probability measures

A. Savchenko, D. Repov\v{s}, M. Zarichnyi

arxiv:1105.3884 v1 · 2011-05-19 · math.GN · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UO4E7MFGW7UGVZDJBJ5QBS3NGK}

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 2026-05-18T04:21:51.122419Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a3b84fb0a6b7e86ae4690a7b00cb6d32ab7b96eb25d6104ed419788ff88b4f39

Aliases

arxiv: 1105.3884 · arxiv_version: 1105.3884v1 · doi: 10.48550/arxiv.1105.3884 · pith_short_12: UO4E7MFGW7UG · pith_short_16: UO4E7MFGW7UGVZDJ · pith_short_8: UO4E7MFG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UO4E7MFGW7UGVZDJBJ5QBS3NGK \
  | 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: a3b84fb0a6b7e86ae4690a7b00cb6d32ab7b96eb25d6104ed419788ff88b4f39
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a106e4dce9e704a9e557842caffaf9caf110964295801b74788bb5bfe569ad96",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-05-19T14:30:40Z",
    "title_canon_sha256": "3c615fd4cd886f0080e8f02f7d8ba92d8c31c8ac076429b7175143f6e7295e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3884",
    "kind": "arxiv",
    "version": 1
  }
}