Pith Number

pith:PIXKI5RE

pith:2019:PIXKI5RESETHMGMU7PTA47KSKS

not attested not anchored not stored refs pending

On complex symmetric block Toeplitz operators

Dong-O Kang, Eungil Ko, Ji Eun Lee

arxiv:1904.04410 v1 · 2019-04-09 · 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{PIXKI5RESETHMGMU7PTA47KSKS}

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	2026-05-17T23:48:59.066534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a2ea476249126761994fbe60e7d52549e35f7ea1d669a4311834a392ce98642

Aliases

arxiv: 1904.04410 · arxiv_version: 1904.04410v1 · doi: 10.48550/arxiv.1904.04410 · pith_short_12: PIXKI5RESETH · pith_short_16: PIXKI5RESETHMGMU · pith_short_8: PIXKI5RE

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/PIXKI5RESETHMGMU7PTA47KSKS \
  | 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: 7a2ea476249126761994fbe60e7d52549e35f7ea1d669a4311834a392ce98642

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40ba7a9f01b1fca0fed2d1b89661a9a4da6b65f64a1fcdc685d88df77dc17da2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-04-09T01:40:09Z",
    "title_canon_sha256": "d635064ee3f6d2c845fe1ce7a2fd5f65487b03416042c3695953ab246d22ee5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.04410",
    "kind": "arxiv",
    "version": 1
  }
}