Pith Number

pith:5S4SU4ZK

pith:2026:5S4SU4ZK7S7IMQTTILM3TYXQKY

not attested not anchored not stored refs pending

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

Runlong Yu

arxiv:2606.18476 v1 · 2026-06-16 · 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{5S4SU4ZK7S7IMQTTILM3TYXQKY}

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

2 papers in Pith

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	2026-06-19T16:11:02.065725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecb92a732afcbe86427342d9b9e2f05621ba944a695c2e2870998d7068dbb419

Aliases

arxiv: 2606.18476 · arxiv_version: 2606.18476v1 · doi: 10.48550/arxiv.2606.18476 · pith_short_12: 5S4SU4ZK7S7I · pith_short_16: 5S4SU4ZK7S7IMQTT · pith_short_8: 5S4SU4ZK

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/5S4SU4ZK7S7IMQTTILM3TYXQKY \
  | 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: ecb92a732afcbe86427342d9b9e2f05621ba944a695c2e2870998d7068dbb419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bab1d4dd90f523bbe457614834e5460bdc84a630e546fdd6e8b4108bf073fbe5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-16T20:36:39Z",
    "title_canon_sha256": "6551213e0fcde8a43d9ece2eb7fac7940a452ca6a092c9e65d53f1f5b62abc46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18476",
    "kind": "arxiv",
    "version": 1
  }
}