Pith Number

pith:QVYC3OQS

pith:2019:QVYC3OQSKTCG2D5UZQ66WYVXBK

not attested not anchored not stored refs pending

On integrals involving quotients of hyperbolic functions

R B Paris, S A Dar

arxiv:1903.08487 v1 · 2019-03-20 · 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{QVYC3OQSKTCG2D5UZQ66WYVXBK}

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	2026-05-17T23:50:47.970267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85702dba1254c46d0fb4cc3deb62b70a87edb157b6034f5fe8c5b0ebfe0be82c

Aliases

arxiv: 1903.08487 · arxiv_version: 1903.08487v1 · doi: 10.48550/arxiv.1903.08487 · pith_short_12: QVYC3OQSKTCG · pith_short_16: QVYC3OQSKTCG2D5U · pith_short_8: QVYC3OQS

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/QVYC3OQSKTCG2D5UZQ66WYVXBK \
  | 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: 85702dba1254c46d0fb4cc3deb62b70a87edb157b6034f5fe8c5b0ebfe0be82c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07057dc136715da0dc3f21c06f68944b6234ef76de30100e892b72d377b272f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-03-20T12:50:50Z",
    "title_canon_sha256": "5235e2ac9dafce030dfab77cf50ed53930c3efd1dcaf7075872413da84ef678a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08487",
    "kind": "arxiv",
    "version": 1
  }
}