Pith Number

pith:KPZ72IHJ

pith:2015:KPZ72IHJBRFFJY4GYF65Z5DN4M

not attested not anchored not stored refs pending

The Goodman-Nguyen Relation within Imprecise Probability Theory

Paolo Vicig, Renato Pelessoni

arxiv:1503.01936 v1 · 2015-03-06 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPZ72IHJBRFFJY4GYF65Z5DN4M}

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	2026-05-18T02:25:27.237028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53f3fd20e90c4a54e386c17ddcf46de303c2e1948ee3088f5d3fb1f795613acb

Aliases

arxiv: 1503.01936 · arxiv_version: 1503.01936v1 · doi: 10.48550/arxiv.1503.01936 · pith_short_12: KPZ72IHJBRFF · pith_short_16: KPZ72IHJBRFFJY4G · pith_short_8: KPZ72IHJ

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/KPZ72IHJBRFFJY4GYF65Z5DN4M \
  | 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: 53f3fd20e90c4a54e386c17ddcf46de303c2e1948ee3088f5d3fb1f795613acb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecb0e0839881db0cea74f72d417397e0316f1d4794a1faf68a4ca1b93bb74a08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-06T12:53:32Z",
    "title_canon_sha256": "c193ba3d3685a0cfdd5c8b9461861761ccdd74f0fc1b82aef2f8e75f61ad3b1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01936",
    "kind": "arxiv",
    "version": 1
  }
}