Pith Number

pith:K5NAKZJL

pith:2026:K5NAKZJL53434NAFUOXCWBBAQK

not attested not anchored not stored refs pending

Complete Integrability for Piecewise-Smooth Distributions

Jack McKee

arxiv:2607.01569 v1 · 2026-07-02 · math.DG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5NAKZJL53434NAFUOXCWBBAQK}

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	2026-07-03T01:17:02.183255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

575a05652beef9be3405a3ae2b04208287bdc7a9fb753527701ba42428d2e239

Aliases

arxiv: 2607.01569 · arxiv_version: 2607.01569v1 · doi: 10.48550/arxiv.2607.01569 · pith_short_12: K5NAKZJL5343 · pith_short_16: K5NAKZJL53434NAF · pith_short_8: K5NAKZJL

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/K5NAKZJL53434NAFUOXCWBBAQK \
  | 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: 575a05652beef9be3405a3ae2b04208287bdc7a9fb753527701ba42428d2e239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7427d8ca9311ee2705829ce8ce296a24d4f15006bf4b1afd2e4a8e9dddfe0c14",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-02T00:59:03Z",
    "title_canon_sha256": "44c140ce58ef2232e39590cf84676c43e8933ed2b01845826df2be50beea4029"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01569",
    "kind": "arxiv",
    "version": 1
  }
}