Pith Number

pith:QRXBWXBN

pith:2013:QRXBWXBNNJATSJH3YDPZDOWYXQ

not attested not anchored not stored refs pending

On determinants of integrable operators with shifts

A. R. Its, K. K. Kozlowski

arxiv:1301.2221 v1 · 2013-01-10 · 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{QRXBWXBNNJATSJH3YDPZDOWYXQ}

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	2026-05-18T03:36:47.090522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

846e1b5c2d6a413924fbc0df91bad8bc1261d7a1a1401bcdde63c3a98cb9d5c0

Aliases

arxiv: 1301.2221 · arxiv_version: 1301.2221v1 · doi: 10.48550/arxiv.1301.2221 · pith_short_12: QRXBWXBNNJAT · pith_short_16: QRXBWXBNNJATSJH3 · pith_short_8: QRXBWXBN

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/QRXBWXBNNJATSJH3YDPZDOWYXQ \
  | 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: 846e1b5c2d6a413924fbc0df91bad8bc1261d7a1a1401bcdde63c3a98cb9d5c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "538c1cfead50446f0dcb3bad9c9b02b8573398b54839ec92820ec205ef5c8d6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-10T19:22:19Z",
    "title_canon_sha256": "3a1b16ed477cc3362bf4e5f46e0a0d5d9d022054aed54b11be93eccfc0ea4dc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2221",
    "kind": "arxiv",
    "version": 1
  }
}