Pith Number

pith:BQ7PMI24

pith:2018:BQ7PMI24ZVAH4243IJC3JC5ZMU

not attested not anchored not stored refs pending

Some trigonometric integrals and the Fourier transform of a spherically symmetric exponential function

Hideshi Yamane

arxiv:1812.11730 v1 · 2018-12-31 · 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{BQ7PMI24ZVAH4243IJC3JC5ZMU}

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	2026-05-17T23:57:11.257383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c3ef6235ccd407e6b9b4245b48bb9650d4af829ddddb7b8f203ce15a7239839

Aliases

arxiv: 1812.11730 · arxiv_version: 1812.11730v1 · doi: 10.48550/arxiv.1812.11730 · pith_short_12: BQ7PMI24ZVAH · pith_short_16: BQ7PMI24ZVAH4243 · pith_short_8: BQ7PMI24

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/BQ7PMI24ZVAH4243IJC3JC5ZMU \
  | 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: 0c3ef6235ccd407e6b9b4245b48bb9650d4af829ddddb7b8f203ce15a7239839

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41114a13b38eb9426d1129892ed1f4553cae18b9be7a8d94b7dd806c19660d0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-12-31T09:21:50Z",
    "title_canon_sha256": "0ed759586d0c0ce32b7794c71b6f4c018aa1c2f50e0a1cb07fc14252cbda3ee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11730",
    "kind": "arxiv",
    "version": 1
  }
}