Pith Number

pith:A237ILVM

pith:2010:A237ILVMVZLBWM2VKKSYCKWJVF

not attested not anchored not stored refs pending

Problems on averages and lacunary maximal functions

Andreas Seeger, James Wright

arxiv:1007.4731 v2 · 2010-07-27 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A237ILVMVZLBWM2VKKSYCKWJVF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:59:49.637028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06b7f42eacae561b335552a5812ac9a96949aa896e817eff299cda6d55ec5694

Aliases

arxiv: 1007.4731 · arxiv_version: 1007.4731v2 · doi: 10.48550/arxiv.1007.4731 · pith_short_12: A237ILVMVZLB · pith_short_16: A237ILVMVZLBWM2V · pith_short_8: A237ILVM

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/A237ILVMVZLBWM2VKKSYCKWJVF \
  | 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: 06b7f42eacae561b335552a5812ac9a96949aa896e817eff299cda6d55ec5694

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da5898e6e043b3d359ae6af3facac509e6b79b664d72948b5076cb3b86aa7ba7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-07-27T14:23:33Z",
    "title_canon_sha256": "3f322e33e2fdf989b25afa50d78b87d6393d45669cc717c690a89fabb2ca74f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4731",
    "kind": "arxiv",
    "version": 2
  }
}