Pith Number

pith:VILDAIQD

pith:2019:VILDAIQDOHQNLN5UYWCUVLOOZQ

not attested not anchored not stored refs pending

Improving estimates for discrete polynomial averages

Fan Yang, Jos\'e Madrid, Michael Lacey, Rui Han, Vjekoslav Kova\v{c}

arxiv:1910.14630 v3 · 2019-10-31 · 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{VILDAIQDOHQNLN5UYWCUVLOOZQ}

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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.

Cited by

1 paper in Pith

Sharp $\ell^p$-Improving Estimates for Fixed-Radius Discrete Spherical Averages

Receipt and verification

First computed	2026-07-05T01:06:31.705291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa1630220371e0d5b7b4c5854aadcecc29867fadddf2a450075dd12f51d75bfa

Aliases

arxiv: 1910.14630 · arxiv_version: 1910.14630v3 · doi: 10.48550/arxiv.1910.14630 · pith_short_12: VILDAIQDOHQN · pith_short_16: VILDAIQDOHQNLN5U · pith_short_8: VILDAIQD

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/VILDAIQDOHQNLN5UYWCUVLOOZQ \
  | 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: aa1630220371e0d5b7b4c5854aadcecc29867fadddf2a450075dd12f51d75bfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37a175a976a7a14343de11cedaf11e7b04825d645f93dd6c5c8a3f363a8fc059",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-10-31T17:16:05Z",
    "title_canon_sha256": "b6a3f31c63b63fbf290607e451c69f3c56527afbf94d0f894cf567f193bf58b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.14630",
    "kind": "arxiv",
    "version": 3
  }
}