Pith Number

pith:OK3CH3QH

pith:2005:OK3CH3QHBKVEXY2XNWUB6DZ5P6

not attested not anchored not stored refs pending

L^p regularity of averages over curves and bounds for associated maximal operators

Andreas Seeger, Malabika Pramanik

arxiv:math/0501165 v1 · 2005-01-11 · math.CA · 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{OK3CH3QHBKVEXY2XNWUB6DZ5P6}

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	2026-07-04T17:23:15.316627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72b623ee070aaa4be3576da81f0f3d7fa3ed596539393e39d4f0d5bb626c30d6

Aliases

arxiv: math/0501165 · arxiv_version: math/0501165v1 · doi: 10.48550/arxiv.math/0501165 · pith_short_12: OK3CH3QHBKVE · pith_short_16: OK3CH3QHBKVEXY2X · pith_short_8: OK3CH3QH

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/OK3CH3QHBKVEXY2XNWUB6DZ5P6 \
  | 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: 72b623ee070aaa4be3576da81f0f3d7fa3ed596539393e39d4f0d5bb626c30d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e69d1fe87906220066644548af8f78b77104ffa6d86eff9919079d02c2a150b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2005-01-11T16:49:18Z",
    "title_canon_sha256": "9653fa4039d48c444270e1bd05938601576bae3db432d71d8e9286f72ce0bd3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501165",
    "kind": "arxiv",
    "version": 1
  }
}