Pith Number

pith:4K2WR4MS

pith:2020:4K2WR4MSLWGWSV4VETQLO4TLOW

not attested not anchored not stored refs pending

Kudo-Continuity Of Entropy Functionals

Hanna Oppelmayer, Michael Bj\"orklund, Yair Hartman

arxiv:2002.06647 v1 · 2020-02-16 · math.PR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4K2WR4MSLWGWSV4VETQLO4TLOW}

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	2026-07-05T00:41:07.916621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b568f1925d8d69579524e0b7726b75a0ed866c267a331b6ec3b5903878dd46

Aliases

arxiv: 2002.06647 · arxiv_version: 2002.06647v1 · doi: 10.48550/arxiv.2002.06647 · pith_short_12: 4K2WR4MSLWGW · pith_short_16: 4K2WR4MSLWGWSV4V · pith_short_8: 4K2WR4MS

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/4K2WR4MSLWGWSV4VETQLO4TLOW \
  | 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: e2b568f1925d8d69579524e0b7726b75a0ed866c267a331b6ec3b5903878dd46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c1630d43968b765236c5eac44fb9a5ba6e891c53e66c5b23af892a76a7c3061",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-02-16T18:58:11Z",
    "title_canon_sha256": "41abcb4337013d4c94ee92903c411dbcb528b93eaf5333778059edead1515783"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.06647",
    "kind": "arxiv",
    "version": 1
  }
}