Pith Number

pith:R6F65Q7N

pith:2025:R6F65Q7NUMZC5BYFH4BXRFJ2VD

not attested not anchored not stored refs pending

Sharp norm inflation for 3D Navier-Stokes equations in supercritical spaces

Xiaoyutao Luo

arxiv:2504.08288 v1 · 2025-04-11 · 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{R6F65Q7NUMZC5BYFH4BXRFJ2VD}

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	2026-07-05T10:47:46.493170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f8beec3eda3322e87053f0378953aa8d957fa9b4dcd6c354c86f039da8ff263

Aliases

arxiv: 2504.08288 · arxiv_version: 2504.08288v1 · doi: 10.48550/arxiv.2504.08288 · pith_short_12: R6F65Q7NUMZC · pith_short_16: R6F65Q7NUMZC5BYF · pith_short_8: R6F65Q7N

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/R6F65Q7NUMZC5BYFH4BXRFJ2VD \
  | 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: 8f8beec3eda3322e87053f0378953aa8d957fa9b4dcd6c354c86f039da8ff263

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d579f76059dc95f4fbb51eb4e4c032799fef3b1bfa0bac4bb7dede1e978fb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-11T06:44:31Z",
    "title_canon_sha256": "f36c8539c4664669cae330b67ddafa38f94bab2952518992b32302d30a7a4de6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.08288",
    "kind": "arxiv",
    "version": 1
  }
}