Pith Number

pith:QYQLLQTI

pith:2026:QYQLLQTI3LP5FRZEV7EXQJWN75

not attested not anchored not stored refs pending

An effective energy-enstrophy diffusion process with a condensation bound

Alain-Sol Sznitman, Klaus Widmayer

arxiv:2602.15810 v2 · 2026-02-17 · math.PR · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QYQLLQTI3LP5FRZEV7EXQJWN75}

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	2026-07-09T01:20:35.422009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8620b5c268dadfd2c724afc97826cdff5d6e7c2832699991e68d7387b9ea02e5

Aliases

arxiv: 2602.15810 · arxiv_version: 2602.15810v2 · doi: 10.48550/arxiv.2602.15810 · pith_short_12: QYQLLQTI3LP5 · pith_short_16: QYQLLQTI3LP5FRZE · pith_short_8: QYQLLQTI

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/QYQLLQTI3LP5FRZEV7EXQJWN75 \
  | 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: 8620b5c268dadfd2c724afc97826cdff5d6e7c2832699991e68d7387b9ea02e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8fe31639446022f1ad32d33c3f02f4016ee3aab42f95aa404da7641a399d290",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-02-17T18:46:21Z",
    "title_canon_sha256": "1b465da76bbf50767f98e817a02143309042370c732616f7056cfe07ca0bdfb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.15810",
    "kind": "arxiv",
    "version": 2
  }
}