Pith Number

pith:7OUQ7PM7

pith:2002:7OUQ7PM73VCIK2LZHGNBFRI2YN

not attested not anchored not stored refs pending

Pointwise convergence of lacunary spherical means

Andreas Seeger, James Wright, Terence Tao

arxiv:math/0205154 v1 · 2002-05-14 · 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{7OUQ7PM73VCIK2LZHGNBFRI2YN}

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	2026-07-04T17:23:15.098564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fba90fbd9fdd44856979399a12c51ac34a3fe097b4b1d87ff2330f7c5e01956b

Aliases

arxiv: math/0205154 · arxiv_version: math/0205154v1 · doi: 10.48550/arxiv.math/0205154 · pith_short_12: 7OUQ7PM73VCI · pith_short_16: 7OUQ7PM73VCIK2LZ · pith_short_8: 7OUQ7PM7

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/7OUQ7PM73VCIK2LZHGNBFRI2YN \
  | 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: fba90fbd9fdd44856979399a12c51ac34a3fe097b4b1d87ff2330f7c5e01956b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c37f9470adb942c3d1a20771b9d51f785df11ffd7b83da24d6968d952c71c08",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2002-05-14T14:20:46Z",
    "title_canon_sha256": "0893b42aad8972e874aaef9c92b63bfc3f236df860bc2155613da36cdb523fa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0205154",
    "kind": "arxiv",
    "version": 1
  }
}