Pith Number

pith:QHLHOSFY

pith:2015:QHLHOSFYR27VCR7KEUOACUC6EY

not attested not anchored not stored refs pending

Analytic approximation of transmutation operators and related systems of functions

Sergii M. Torba, Vladislav V. Kravchenko

arxiv:1509.04680 v1 · 2015-09-15 · math.CA · math.FA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHLHOSFYR27VCR7KEUOACUC6EY}

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	2026-05-18T01:06:21.223047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81d67748b88ebf5147ea251c01505e262f2f08d752fa0b4e3339278924998a89

Aliases

arxiv: 1509.04680 · arxiv_version: 1509.04680v1 · doi: 10.48550/arxiv.1509.04680 · pith_short_12: QHLHOSFYR27V · pith_short_16: QHLHOSFYR27VCR7K · pith_short_8: QHLHOSFY

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/QHLHOSFYR27VCR7KEUOACUC6EY \
  | 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: 81d67748b88ebf5147ea251c01505e262f2f08d752fa0b4e3339278924998a89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "875b9f9c7ec0aee4eaf1d8550aa35eb3cd0121de3a345e7737c3f75d29559a55",
    "cross_cats_sorted": [
      "math.FA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-15T19:02:24Z",
    "title_canon_sha256": "69e3af9a7912c97181821e5952758191907daf3433e31a4bd83c19f375794d88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04680",
    "kind": "arxiv",
    "version": 1
  }
}