Pith Number

pith:DK7RYW6B

pith:2026:DK7RYW6B5FCISJBZFCPC7DOZIV

not attested not anchored not stored refs pending

The case of equality in BK

Pierre Tesio, Rapha\"el Cerf

arxiv:2607.02272 v1 · 2026-07-02 · 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{DK7RYW6B5FCISJBZFCPC7DOZIV}

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	2026-07-03T01:17:47.172719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1abf1c5bc1e944892439289e2f8dd9454758efd4e7446554525439d082c65e61

Aliases

arxiv: 2607.02272 · arxiv_version: 2607.02272v1 · doi: 10.48550/arxiv.2607.02272 · pith_short_12: DK7RYW6B5FCI · pith_short_16: DK7RYW6B5FCISJBZ · pith_short_8: DK7RYW6B

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/DK7RYW6B5FCISJBZFCPC7DOZIV \
  | 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: 1abf1c5bc1e944892439289e2f8dd9454758efd4e7446554525439d082c65e61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68dc80a3544690b4e4abe663ec1b5050fb73df39f9c141a3fcfa4258a977c3a9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-02T14:55:58Z",
    "title_canon_sha256": "707dabc20b16da367634d377b88349f3ffd886512bd2aeb1c2b96bb1d8f0aeb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02272",
    "kind": "arxiv",
    "version": 1
  }
}