Pith Number

pith:B4YDQQR7

pith:2018:B4YDQQR7EQGZGVAFH2PW5Z4VLB

not attested not anchored not stored refs pending

Minimal blow-up initial data in critical Fourier-Herz spaces for potential Navier-Stokes singularities

Changxing Miao, Jingyue Li, Xiaoxin Zheng

arxiv:1804.09842 v1 · 2018-04-26 · 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{B4YDQQR7EQGZGVAFH2PW5Z4VLB}

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	2026-05-18T00:17:27.740612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f3038423f240d9354053e9f6ee79558525bb416654f80da80f40e0efdcf2fee

Aliases

arxiv: 1804.09842 · arxiv_version: 1804.09842v1 · doi: 10.48550/arxiv.1804.09842 · pith_short_12: B4YDQQR7EQGZ · pith_short_16: B4YDQQR7EQGZGVAF · pith_short_8: B4YDQQR7

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/B4YDQQR7EQGZGVAFH2PW5Z4VLB \
  | 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: 0f3038423f240d9354053e9f6ee79558525bb416654f80da80f40e0efdcf2fee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0f798561335559a845038eb1ed75918b83f3c12c6de2a74c3736832bafb6e47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-26T00:33:42Z",
    "title_canon_sha256": "ec58d7fa6f43be77ac94b111fdbc412928a411629e232520004b583b854b2c8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09842",
    "kind": "arxiv",
    "version": 1
  }
}