Pith Number

pith:B7YAHXT6

pith:2026:B7YAHXT66ICMCNOCMYVWVS33SB

not attested not anchored not stored refs pending

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling

Arnaud Debussche, Martina Hofmanov\'a

arxiv:2607.16132 v1 · 2026-07-17 · math.AP · 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{B7YAHXT66ICMCNOCMYVWVS33SB}

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	2026-07-20T02:19:35.029845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ff003de7ef204c135c2662b6acb7b9044d266ae2b1bc107ed0910918917f8c5

Aliases

arxiv: 2607.16132 · arxiv_version: 2607.16132v1 · doi: 10.48550/arxiv.2607.16132 · pith_short_12: B7YAHXT66ICM · pith_short_16: B7YAHXT66ICMCNOC · pith_short_8: B7YAHXT6

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/B7YAHXT66ICMCNOCMYVWVS33SB \
  | 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: 0ff003de7ef204c135c2662b6acb7b9044d266ae2b1bc107ed0910918917f8c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1693ff1a98f62bfcb375501052884e8c7814924f30b4a61555a6ea86a546cbd0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-17T17:12:35Z",
    "title_canon_sha256": "76da4312f145992ab164930350e169ab50b50e31c799aae0a3dcbfd83a4e9a4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16132",
    "kind": "arxiv",
    "version": 1
  }
}