Pith Number

pith:EUR7EGDS

pith:2016:EUR7EGDS2QMQ6SDFEROS3T4S5M

not attested not anchored not stored refs pending

Sharp L^p-L^r estimates for k-plane transforms in finite fields

Dongyoon Kwak, Doowon Koh

arxiv:1609.00168 v3 · 2016-09-01 · 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{EUR7EGDS2QMQ6SDFEROS3T4S5M}

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	2026-05-18T00:50:56.724252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2523f21872d4190f4865245d2dcf92eb223d7ebc6f39e0e163a49a7a9da89536

Aliases

arxiv: 1609.00168 · arxiv_version: 1609.00168v3 · doi: 10.48550/arxiv.1609.00168 · pith_short_12: EUR7EGDS2QMQ · pith_short_16: EUR7EGDS2QMQ6SDF · pith_short_8: EUR7EGDS

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/EUR7EGDS2QMQ6SDFEROS3T4S5M \
  | 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: 2523f21872d4190f4865245d2dcf92eb223d7ebc6f39e0e163a49a7a9da89536

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3a3730500bfcaac298a8d78f9e8dbace1a8dcff9668220b31ef7e2fb6006232",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-01T09:53:11Z",
    "title_canon_sha256": "ca2d879536da5087a1c9f97341589ea6942b6f956a62b4840426ae246eb6c4c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00168",
    "kind": "arxiv",
    "version": 3
  }
}