Pith Number

pith:TQWPNENI

pith:2017:TQWPNENIXNM6LR7XAZAIKEJFJM

not attested not anchored not stored refs pending

Triebel-Lizorkin-Lorentz spaces and the Navier-Stokes equations

J\"urgen Saal, Pascal Hobus

arxiv:1710.01583 v2 · 2017-10-04 · 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{TQWPNENIXNM6LR7XAZAIKEJFJM}

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	2026-05-18T00:33:38.676525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c2cf691a8bb59e5c7f706408511254b19ae93050dbed77533793c16a9be9f97

Aliases

arxiv: 1710.01583 · arxiv_version: 1710.01583v2 · doi: 10.48550/arxiv.1710.01583 · pith_short_12: TQWPNENIXNM6 · pith_short_16: TQWPNENIXNM6LR7X · pith_short_8: TQWPNENI

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/TQWPNENIXNM6LR7XAZAIKEJFJM \
  | 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: 9c2cf691a8bb59e5c7f706408511254b19ae93050dbed77533793c16a9be9f97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f054ce67f0f870478c4943f2e0939060656de73f7d9715f5f18892795ed4a5e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-04T13:04:21Z",
    "title_canon_sha256": "850a429a2f5013fddb065807477b9d8332e3eb50f3332d5e9057bd05bbbd00ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01583",
    "kind": "arxiv",
    "version": 2
  }
}