Pith Number

pith:RZO4RTO7

pith:2019:RZO4RTO7MPDJ7FG5WF47NMLGON

not attested not anchored not stored refs pending

Tropical probability theory and an application to the entropic cone

Jacobus W. Portegies, Rostislav Matveev

arxiv:1905.05351 v2 · 2019-05-08 · cs.IT · math.IT · 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{RZO4RTO7MPDJ7FG5WF47NMLGON}

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	2026-05-17T23:46:02.918859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e5dc8cddf63c69f94ddb179f6b166734651b6c58a8381cc034ac8b18e041a41

Aliases

arxiv: 1905.05351 · arxiv_version: 1905.05351v2 · doi: 10.48550/arxiv.1905.05351 · pith_short_12: RZO4RTO7MPDJ · pith_short_16: RZO4RTO7MPDJ7FG5 · pith_short_8: RZO4RTO7

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/RZO4RTO7MPDJ7FG5WF47NMLGON \
  | 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: 8e5dc8cddf63c69f94ddb179f6b166734651b6c58a8381cc034ac8b18e041a41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c5d98087ebd2ebeb0ace84f90caba548d9096605cec1dcdf7b90050cc37c312",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-05-08T14:19:42Z",
    "title_canon_sha256": "58e1291bf290c439b1ebb2cc31e318c10423ce379fbc024a51ee6cb6002d3590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05351",
    "kind": "arxiv",
    "version": 2
  }
}