Pith Number

pith:QIP4G2CZ

pith:2011:QIP4G2CZXNDD63KXSXAMCWFS7F

not attested not anchored not stored refs pending

Weighted norm inequalities for oscillatory integrals with finite type phases on the line

Jonathan Bennett, Samuel Harrison

arxiv:1110.6031 v1 · 2011-10-27 · 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{QIP4G2CZXNDD63KXSXAMCWFS7F}

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	2026-05-18T04:10:09.877901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

821fc36859bb463f6d5795c0c158b2f9458b5281566c91fe27d76e9cf8ae9919

Aliases

arxiv: 1110.6031 · arxiv_version: 1110.6031v1 · doi: 10.48550/arxiv.1110.6031 · pith_short_12: QIP4G2CZXNDD · pith_short_16: QIP4G2CZXNDD63KX · pith_short_8: QIP4G2CZ

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/QIP4G2CZXNDD63KXSXAMCWFS7F \
  | 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: 821fc36859bb463f6d5795c0c158b2f9458b5281566c91fe27d76e9cf8ae9919

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0094deea7964842c0a7dc4c49068ab1d5569f3ac5f36404232c4d7f84ba6070",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-10-27T09:45:59Z",
    "title_canon_sha256": "53db1e418b032eff0fe9dc4dc90f50228b150d42257ba37715d5a3d095d2744b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6031",
    "kind": "arxiv",
    "version": 1
  }
}