Pith Number

pith:HLSXCGGA

pith:2015:HLSXCGGAGMISWLYIUUDUC5ZKUX

not attested not anchored not stored refs pending

$L^2$-estimates for singular oscillatory integral operators

Hayk Aleksanyan, Henrik Shahgholian, Per Sj\"olin

arxiv:1505.05348 v1 · 2015-05-20 · 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{HLSXCGGAGMISWLYIUUDUC5ZKUX}

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	2026-05-18T02:03:56.744801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ae57118c033112b2f08a50741772aa5f0ec79e930cbb895cd0e520b9fc6b2e4

Aliases

arxiv: 1505.05348 · arxiv_version: 1505.05348v1 · doi: 10.48550/arxiv.1505.05348 · pith_short_12: HLSXCGGAGMIS · pith_short_16: HLSXCGGAGMISWLYI · pith_short_8: HLSXCGGA

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/HLSXCGGAGMISWLYIUUDUC5ZKUX \
  | 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: 3ae57118c033112b2f08a50741772aa5f0ec79e930cbb895cd0e520b9fc6b2e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b73db442db90122d5e39ae3ae03df49f58352129827ddcb85c56958bb2db32b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-20T12:50:57Z",
    "title_canon_sha256": "10f1dc870b663e65f1d65a4fff5612cde2057a3dcbba7a1dda20ab133dc6fb42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05348",
    "kind": "arxiv",
    "version": 1
  }
}