Pith Number

pith:VZIXRZ7L

pith:2011:VZIXRZ7LUHKMSFGWQSRGL4SWZ7

not attested not anchored not stored refs pending

Sturmian Multiple Zeros for Stokes and Navier--Stokes Equations in $\re^3$ via Solenoidal Hermite Polynomials

V. A. Galaktionov

arxiv:1107.3045 v2 · 2011-07-15 · 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{VZIXRZ7LUHKMSFGWQSRGL4SWZ7}

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	2026-05-18T03:43:27.377998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae5178e7eba1d4c914d684a265f256cfc7f8a3ae55d8a2237ab557d72b6fe564

Aliases

arxiv: 1107.3045 · arxiv_version: 1107.3045v2 · doi: 10.48550/arxiv.1107.3045 · pith_short_12: VZIXRZ7LUHKM · pith_short_16: VZIXRZ7LUHKMSFGW · pith_short_8: VZIXRZ7L

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/VZIXRZ7LUHKMSFGWQSRGL4SWZ7 \
  | 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: ae5178e7eba1d4c914d684a265f256cfc7f8a3ae55d8a2237ab557d72b6fe564

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bf04096dd210c00a7468eaa737ed7c47f0e765777ae165fe0ecb66a32adbabd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-15T11:29:08Z",
    "title_canon_sha256": "080cf275a6a83d81516b9191b49c06f0b778848e69d09aed0f218d1ef0157032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3045",
    "kind": "arxiv",
    "version": 2
  }
}