Pith Number

pith:7HQKYUIS

pith:2014:7HQKYUISVQZY3IGRKGXY2KIHZC

not attested not anchored not stored refs pending

Quantitative robustness of regularity for 3D Navier-Stokes system in $\dot H^\alpha$-spaces

Jan Burczak, Wojciech M. Zaj\k{a}czkowski

arxiv:1409.3485 v2 · 2014-09-11 · 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{7HQKYUISVQZY3IGRKGXY2KIHZC}

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	2026-05-18T00:59:28.008471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9e0ac5112ac338da0d151af8d2907c896222eb69bfe509e6682d2cc08926a15

Aliases

arxiv: 1409.3485 · arxiv_version: 1409.3485v2 · doi: 10.48550/arxiv.1409.3485 · pith_short_12: 7HQKYUISVQZY · pith_short_16: 7HQKYUISVQZY3IGR · pith_short_8: 7HQKYUIS

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/7HQKYUISVQZY3IGRKGXY2KIHZC \
  | 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: f9e0ac5112ac338da0d151af8d2907c896222eb69bfe509e6682d2cc08926a15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84d751ae0ed364fddf7ae6878437a36c51f58c62730e98be6d6e8d36a8edcfa0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-11T16:06:16Z",
    "title_canon_sha256": "ca746c72f2ca2b5233c92e30ad16e4da5814949fa2927a3d265e511e1c7c8d1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3485",
    "kind": "arxiv",
    "version": 2
  }
}