Pith Number

pith:4NM64VKO

pith:2026:4NM64VKOWAOTJWW7ESPTVYVEGL

not attested not anchored not stored refs pending

Invisible Defect Cascades for Navier-Stokes Regularity

Runlong Yu

arxiv:2606.12756 v1 · 2026-06-10 · 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{4NM64VKOWAOTJWW7ESPTVYVEGL}

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.

Cited by

3 papers in Pith

Finite-Window Local-to-Clean Transfer and Anti-Phantom Detection for Sharp Navier-Stokes Packages

A Structural Audit of Navier-Stokes Obstruction Calculus

Coarse-Grained Resolution and Pressure-Flux Work Depletion for Navier-Stokes CKN Badness

Receipt and verification

First computed	2026-06-12T01:08:49.464524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e359ee554eb01d34dadf249f3ae2a432c58537f39d3fd4b55a6c2ae3354d3551

Aliases

arxiv: 2606.12756 · arxiv_version: 2606.12756v1 · doi: 10.48550/arxiv.2606.12756 · pith_short_12: 4NM64VKOWAOT · pith_short_16: 4NM64VKOWAOTJWW7 · pith_short_8: 4NM64VKO

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/4NM64VKOWAOTJWW7ESPTVYVEGL \
  | 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: e359ee554eb01d34dadf249f3ae2a432c58537f39d3fd4b55a6c2ae3354d3551

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3675c5fa7e512b79fcc74b4c002c012cca61a5897b655f59d2646eb70a78392a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-10T23:52:07Z",
    "title_canon_sha256": "903594d433c2a03befe7a3bf9944df962ec18440ae93083f9f40c220f70820d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12756",
    "kind": "arxiv",
    "version": 1
  }
}