Pith Number

pith:KZCKKQSF

pith:2026:KZCKKQSFLLUJUYQ3WBT36V33PU

not attested not anchored not stored refs pending

Lower path regularity in all dimensions

Jonas M. T\"olle, Lauri Viitasaari, Michael Hinz

arxiv:2605.27713 v1 · 2026-05-26 · 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{KZCKKQSFLLUJUYQ3WBT36V33PU}

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	2026-05-28T01:04:46.952114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5644a542455ae89a621bb067bf577b7d1a89779b59ce9452351ef495e9a6abc3

Aliases

arxiv: 2605.27713 · arxiv_version: 2605.27713v1 · doi: 10.48550/arxiv.2605.27713 · pith_short_12: KZCKKQSFLLUJ · pith_short_16: KZCKKQSFLLUJUYQ3 · pith_short_8: KZCKKQSF

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/KZCKKQSFLLUJUYQ3WBT36V33PU \
  | 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: 5644a542455ae89a621bb067bf577b7d1a89779b59ce9452351ef495e9a6abc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21efc11e203e92dec3b901022e7e958a8721cb7300fc65ca60fb943fd2b68a8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-26T21:38:18Z",
    "title_canon_sha256": "c4a9856a596f1bfcacf1e5a3b8c0e34afa89dfabf2acc60be91a2f912729e11c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27713",
    "kind": "arxiv",
    "version": 1
  }
}