Pith Number

pith:3CDYW44K

pith:2018:3CDYW44K3W5YRBBMUTVSFXP7ML

not attested not anchored not stored refs pending

Lift expectations of random sets

Gleb A. Koshevoy, Ilya Molchanov, Marc-Arthur Diaye

arxiv:1805.04757 v2 · 2018-05-12 · 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{3CDYW44K3W5YRBBMUTVSFXP7ML}

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	2026-05-18T00:06:39.847910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8878b738addbb88842ca4eb22ddff62dfd8b6749521ef133b619df05285c2cf

Aliases

arxiv: 1805.04757 · arxiv_version: 1805.04757v2 · doi: 10.48550/arxiv.1805.04757 · pith_short_12: 3CDYW44K3W5Y · pith_short_16: 3CDYW44K3W5YRBBM · pith_short_8: 3CDYW44K

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/3CDYW44K3W5YRBBMUTVSFXP7ML \
  | 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: d8878b738addbb88842ca4eb22ddff62dfd8b6749521ef133b619df05285c2cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95c543c8cbff01fd52bcea435f310398c08385345838a3dbaa3c43cc7b65bfd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-12T18:16:25Z",
    "title_canon_sha256": "7e1c35d4655d515d232919981b0ef9dcb870ed8032d1c18d1cc658a7742707e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04757",
    "kind": "arxiv",
    "version": 2
  }
}