Pith Number

pith:FUWFL7HI

pith:2026:FUWFL7HID4C2O4AVT3EJZBAXIF

not attested not anchored not stored refs pending

Convergence criteria for Frullani-type integrals involving differences of cosines

Atiratch Laoharenoo, Chanatip Sujsuntinukul

arxiv:2605.26153 v1 · 2026-05-23 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUWFL7HID4C2O4AVT3EJZBAXIF}

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	2026-05-27T00:04:26.555173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d2c55fce81f05a770159ec89c8417415420e4094411782ebabf82d54783abf5

Aliases

arxiv: 2605.26153 · arxiv_version: 2605.26153v1 · doi: 10.48550/arxiv.2605.26153 · pith_short_12: FUWFL7HID4C2 · pith_short_16: FUWFL7HID4C2O4AV · pith_short_8: FUWFL7HI

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/FUWFL7HID4C2O4AVT3EJZBAXIF \
  | 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: 2d2c55fce81f05a770159ec89c8417415420e4094411782ebabf82d54783abf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0764ca028c96ac78e1be3cf4864b9bbc090358a2717c7b911188db2260364fb9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2026-05-23T15:38:58Z",
    "title_canon_sha256": "15bd3bd4adfef7e84755efb357f1944e9e2fe46dc08c663592984318d424585f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26153",
    "kind": "arxiv",
    "version": 1
  }
}