Pith Number

pith:DLEKVHPS

pith:2019:DLEKVHPS45EDUSVWK3DXUWAXOE

not attested not anchored not stored refs pending

Odds-Theorem and Monotonicity

F. Thomas Bruss

arxiv:1905.05611 v1 · 2019-05-14 · 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{DLEKVHPS45EDUSVWK3DXUWAXOE}

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	2026-05-17T23:46:14.065062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ac8aa9df2e7483a4ab656c77a581771281abfa552e639735a2b002b22459832

Aliases

arxiv: 1905.05611 · arxiv_version: 1905.05611v1 · doi: 10.48550/arxiv.1905.05611 · pith_short_12: DLEKVHPS45ED · pith_short_16: DLEKVHPS45EDUSVW · pith_short_8: DLEKVHPS

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/DLEKVHPS45EDUSVWK3DXUWAXOE \
  | 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: 1ac8aa9df2e7483a4ab656c77a581771281abfa552e639735a2b002b22459832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61f34b1e15aa0aafd5a9a03f036d0b59315670a6b86da6888fe5c6f7051b97c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-14T13:52:15Z",
    "title_canon_sha256": "7f966edb0c9230895e01db0ebc67320d92699258990b9edb6ffcf19c9a425f48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05611",
    "kind": "arxiv",
    "version": 1
  }
}