Pith Number

pith:3YVWKE3Y

pith:2026:3YVWKE3YXOWMUHUJD63OMPTNUG

not attested not anchored not stored refs pending

The critical KPZ scale for the Averaging Process

Federico Sau, Hindy Drillick, Shalin Parekh

arxiv:2607.21443 v1 · 2026-07-23 · 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{3YVWKE3YXOWMUHUJD63OMPTNUG}

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	2026-07-24T01:24:32.870961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de2b651378bbacca1e891fb6e63e6da1805f2fa505793e71129403897ce9417e

Aliases

arxiv: 2607.21443 · arxiv_version: 2607.21443v1 · doi: 10.48550/arxiv.2607.21443 · pith_short_12: 3YVWKE3YXOWM · pith_short_16: 3YVWKE3YXOWMUHUJ · pith_short_8: 3YVWKE3Y

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/3YVWKE3YXOWMUHUJD63OMPTNUG \
  | 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: de2b651378bbacca1e891fb6e63e6da1805f2fa505793e71129403897ce9417e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "161269381271e3dfe72248c9a4d7860ba1dfb9e41b7fd72b964600fd00e7f7bb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-23T15:50:08Z",
    "title_canon_sha256": "cc502806f756c88473e0d0df319f535800557d7970ed62977f6f75fb8c4a494c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21443",
    "kind": "arxiv",
    "version": 1
  }
}