Pith Number

pith:CEYSFWUQ

pith:2019:CEYSFWUQ2M3NVOUPDV42X5SSQ6

not attested not anchored not stored refs pending

$L^\infty$-Estimates of the Solution of the Navier-Stokes Equations for a Nondecaying Initial Data

Santosh Pathak

arxiv:1907.03099 v1 · 2019-07-06 · 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{CEYSFWUQ2M3NVOUPDV42X5SSQ6}

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	2026-05-17T23:41:18.939273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

113122da90d336daba8f1d79abf65287a9c4be3674617d12e178ed825928b102

Aliases

arxiv: 1907.03099 · arxiv_version: 1907.03099v1 · doi: 10.48550/arxiv.1907.03099 · pith_short_12: CEYSFWUQ2M3N · pith_short_16: CEYSFWUQ2M3NVOUP · pith_short_8: CEYSFWUQ

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/CEYSFWUQ2M3NVOUPDV42X5SSQ6 \
  | 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: 113122da90d336daba8f1d79abf65287a9c4be3674617d12e178ed825928b102

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9137898f4bba671ea9ba80b098a0a112b63d92dfc66ca801d627b73f41a72c7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-06T09:23:08Z",
    "title_canon_sha256": "047ee561b0bbf00e088024ace6e6e391d591c865c223e1143afc7c133302520a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03099",
    "kind": "arxiv",
    "version": 1
  }
}