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Pith Number

pith:47524GHX

pith:2016:47524GHXLD7EVXS6TIHNFYUBXR
not attested not anchored not stored refs pending

Generic and lifted probabilistic comparisons -- max replaces minmax

Mihailo Stojnic

arxiv:1612.08506 v1 · 2016-12-27 · math.PR · cs.IT · math.IT · math.ST · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{47524GHXLD7EVXS6TIHNFYUBXR}

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 2026-05-18T00:53:52.808516Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e7fbae18f758fe4ade5e9a0ed2e281bc6e01f568efca3bd8873f3af53291bd23

Aliases

arxiv: 1612.08506 · arxiv_version: 1612.08506v1 · doi: 10.48550/arxiv.1612.08506 · pith_short_12: 47524GHXLD7E · pith_short_16: 47524GHXLD7EVXS6 · pith_short_8: 47524GHX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/47524GHXLD7EVXS6TIHNFYUBXR \
  | 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: e7fbae18f758fe4ade5e9a0ed2e281bc6e01f568efca3bd8873f3af53291bd23
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "45101b0c994fe94f41fb9730fbb2dadca719c82019591b8334e4d850a068d0f2",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-27T06:21:07Z",
    "title_canon_sha256": "1c2bc64581f104b28b08bd13e51f609ec203697702783fb900eb0c0e7ba3be57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08506",
    "kind": "arxiv",
    "version": 1
  }
}