Pith Number

pith:XIOJPXN5

pith:2017:XIOJPXN5A7VVQ2OZXFPWUPUKM7

not attested not anchored not stored refs pending

Oscillatory integrals with uniformity in parameters

Eren Mehmet Kiral, Ian Petrow, Matthew P. Young

arxiv:1710.00916 v2 · 2017-10-02 · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XIOJPXN5A7VVQ2OZXFPWUPUKM7}

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	2026-07-04T23:59:45.921114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba1c97ddbd07eb5869d9b95f6a3e8a67ece50ada5bcb8232089dcf1f6fdec5b8

Aliases

arxiv: 1710.00916 · arxiv_version: 1710.00916v2 · doi: 10.48550/arxiv.1710.00916 · pith_short_12: XIOJPXN5A7VV · pith_short_16: XIOJPXN5A7VVQ2OZ · pith_short_8: XIOJPXN5

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/XIOJPXN5A7VVQ2OZXFPWUPUKM7 \
  | 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: ba1c97ddbd07eb5869d9b95f6a3e8a67ece50ada5bcb8232089dcf1f6fdec5b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab7aadc18179fa0f632cf5ae4ad9e19af45063923c0a7a17c1a47379b71a65f4",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-10-02T21:27:40Z",
    "title_canon_sha256": "80ef594867b7358ea9e59e183b54396bb3231c1ae34cfd91dd31e40184fe564b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00916",
    "kind": "arxiv",
    "version": 2
  }
}