Pith Number

pith:5QEFB3B3

pith:2023:5QEFB3B3LEOHXEX3QXSJMQ5MJU

not attested not anchored not stored refs pending

Positivity of oscillatory integrals and Hankel transforms

Seok-Young Chung, Yong-Kum Cho, Young Woong Park

arxiv:2311.04381 v1 · 2023-11-07 · 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{5QEFB3B3LEOHXEX3QXSJMQ5MJU}

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	2026-07-05T07:10:34.713461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec0850ec3b591c7b92fb85e49643ac4d2b7a8a17ab674101f22f7a8502f3c163

Aliases

arxiv: 2311.04381 · arxiv_version: 2311.04381v1 · doi: 10.48550/arxiv.2311.04381 · pith_short_12: 5QEFB3B3LEOH · pith_short_16: 5QEFB3B3LEOHXEX3 · pith_short_8: 5QEFB3B3

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/5QEFB3B3LEOHXEX3QXSJMQ5MJU \
  | 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: ec0850ec3b591c7b92fb85e49643ac4d2b7a8a17ab674101f22f7a8502f3c163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "415825ef94f6230b0c4be1e60bc5cff6d06fa77411eeb52fe8af9d602d0ceee0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2023-11-07T23:05:46Z",
    "title_canon_sha256": "17c2fd7eadf2bd994d21a4d817f96dc7a8d926311d5fe87cf3fdce5696aef421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.04381",
    "kind": "arxiv",
    "version": 1
  }
}