Pith Number

pith:AVUO45YR

pith:2016:AVUO45YRZIDCKCMGL4FIJYUJZM

not attested not anchored not stored refs pending

Hilbert Matrix and Difference Operator of Order m

Harun Polat, Murat Kiri\c{s}ci

arxiv:1609.01543 v1 · 2016-09-06 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AVUO45YRZIDCKCMGL4FIJYUJZM}

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	2026-05-18T01:05:39.304010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0568ee7711ca062509865f0a84e289cb1b905da14956f95c66223a51d6f591cb

Aliases

arxiv: 1609.01543 · arxiv_version: 1609.01543v1 · doi: 10.48550/arxiv.1609.01543 · pith_short_12: AVUO45YRZIDC · pith_short_16: AVUO45YRZIDCKCMG · pith_short_8: AVUO45YR

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/AVUO45YRZIDCKCMGL4FIJYUJZM \
  | 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: 0568ee7711ca062509865f0a84e289cb1b905da14956f95c66223a51d6f591cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d5acaa8253030842c42b961c853802b44616bbf9465a301e7a908d748d32518",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-06T13:21:57Z",
    "title_canon_sha256": "0990faffe38d6b4f7f17d53391da61b3a96ad8c9138242d838f20a29417f65c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01543",
    "kind": "arxiv",
    "version": 1
  }
}