Pith Number

pith:L7LVUW5V

pith:2016:L7LVUW5VO3EELDOEA7VSZJA2PT

not attested not anchored not stored refs pending

On an equality for the iterated weighted spherical mean and its applications

E.L. Shishkina, S.M. Sitnik

arxiv:1608.00219 v1 · 2016-07-31 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7LVUW5VO3EELDOEA7VSZJA2PT}

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	2026-05-18T01:02:20.550261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fd75a5bb576c8458dc407eb2ca41a7cd906e1dc58afb755b46e4aece512aa6c

Aliases

arxiv: 1608.00219 · arxiv_version: 1608.00219v1 · doi: 10.48550/arxiv.1608.00219 · pith_short_12: L7LVUW5VO3EE · pith_short_16: L7LVUW5VO3EELDOE · pith_short_8: L7LVUW5V

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/L7LVUW5VO3EELDOEA7VSZJA2PT \
  | 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: 5fd75a5bb576c8458dc407eb2ca41a7cd906e1dc58afb755b46e4aece512aa6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f9a6c4ad1a21c6e2adc46f8c63ceec2ffe3dec0c9bdc6a6e4e3860da040cff5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-31T14:22:14Z",
    "title_canon_sha256": "72616900c58a3379f96f012df075b772b383970b791fef161ddfc4407bfbf6b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00219",
    "kind": "arxiv",
    "version": 1
  }
}