Pith Number

pith:BWIMT6OA

pith:2006:BWIMT6OA2KQOJZBTU674VLX64T

not attested not anchored not stored refs pending

The Fourier extension operator on large spheres and related oscillatory integrals

Andreas Seeger, Jonathan Bennett

arxiv:math/0608129 v2 · 2006-08-04 · 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{BWIMT6OA2KQOJZBTU674VLX64T}

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	2026-05-18T02:57:45.546066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d90c9f9c0d2a0e4e433a7bfcaaefee4c8bfd5132c054b95cb679a85a81dbf46

Aliases

arxiv: math/0608129 · arxiv_version: math/0608129v2 · doi: 10.48550/arxiv.math/0608129 · pith_short_12: BWIMT6OA2KQO · pith_short_16: BWIMT6OA2KQOJZBT · pith_short_8: BWIMT6OA

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/BWIMT6OA2KQOJZBTU674VLX64T \
  | 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: 0d90c9f9c0d2a0e4e433a7bfcaaefee4c8bfd5132c054b95cb679a85a81dbf46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48650a27bd0ee94f945417d18ade427d38417f75724770bc60f43f9d3c4f746f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2006-08-04T18:42:32Z",
    "title_canon_sha256": "e75a9634beb69713566807f4d347a8b6ef8f5bfd65dd6a1849efd32f30950fda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608129",
    "kind": "arxiv",
    "version": 2
  }
}