Pith Number

pith:ELSRXNT4

pith:2024:ELSRXNT4RNKCO5HLWZRU3Y5TP3

not attested not anchored not stored refs pending

Anomalous Regularization in Kraichnan's Passive Scalar Model

Francesco Grotto, Lucio Galeati, Mario Maurelli

arxiv:2407.16668 v2 · 2024-07-23 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELSRXNT4RNKCO5HLWZRU3Y5TP3}

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	2026-06-23T02:13:12.962596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22e51bb67c8b542774ebb6634de3b37ef0465ea85113d6d14f9fa9cf287eccc7

Aliases

arxiv: 2407.16668 · arxiv_version: 2407.16668v2 · doi: 10.48550/arxiv.2407.16668 · pith_short_12: ELSRXNT4RNKC · pith_short_16: ELSRXNT4RNKCO5HL · pith_short_8: ELSRXNT4

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/ELSRXNT4RNKCO5HLWZRU3Y5TP3 \
  | 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: 22e51bb67c8b542774ebb6634de3b37ef0465ea85113d6d14f9fa9cf287eccc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "284c1596cb3b13d3953b61a5e1e43ef2be32bf5d4643f1de75a7d77e42a43ff7",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-07-23T17:35:25Z",
    "title_canon_sha256": "a6c46b49030a33d7ee9d06e38bbb1d595fa38b834c7005ee06968b1435b3fa5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.16668",
    "kind": "arxiv",
    "version": 2
  }
}