Pith Number

pith:IVF7V4YB

pith:2020:IVF7V4YBMXWQVBGSSNZA7DZLIV

not attested not anchored not stored refs pending

Orthant probabilities and the attainment of maxima on a vertex of a simplex

Dami\'an Pinasco, Ezequiel Smucler, Ignacio Zalduendo

arxiv:2004.04682 v1 · 2020-04-09 · math.PR · math.FA · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IVF7V4YBMXWQVBGSSNZA7DZLIV}

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	2026-07-05T00:54:10.325078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

454bfaf30165ed0a84d293720f8f2b4550a88300c29f5c7b6dae4745a6b56bf1

Aliases

arxiv: 2004.04682 · arxiv_version: 2004.04682v1 · doi: 10.48550/arxiv.2004.04682 · pith_short_12: IVF7V4YBMXWQ · pith_short_16: IVF7V4YBMXWQVBGS · pith_short_8: IVF7V4YB

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/IVF7V4YBMXWQVBGSSNZA7DZLIV \
  | 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: 454bfaf30165ed0a84d293720f8f2b4550a88300c29f5c7b6dae4745a6b56bf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc7f5c3627614e86609b796b33af439e5acd17cbcc4b121679b528e5950fca0a",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-04-09T17:04:37Z",
    "title_canon_sha256": "c1581059a032fb73cbf1b7ca9a9eb0f6385d1a6e5e1e70f7af4739cb85f6b8c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.04682",
    "kind": "arxiv",
    "version": 1
  }
}