Pith Number

pith:XAINYCJA

pith:2013:XAINYCJAZBLZXQJA43R6KCKOGH

not attested not anchored not stored refs pending

Abrahamse's Theorem for matrix-valued symbols and subnormal Toeplitz completions

In Sung Hwang, Raul E. Curto, Woo Young Lee

arxiv:1301.6901 v1 · 2013-01-29 · 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{XAINYCJAZBLZXQJA43R6KCKOGH}

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	2026-05-18T03:35:11.955340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b810dc0920c8579bc120e6e3e5094e31ca5d8c959758693f8e7c2e79cda6549f

Aliases

arxiv: 1301.6901 · arxiv_version: 1301.6901v1 · doi: 10.48550/arxiv.1301.6901 · pith_short_12: XAINYCJAZBLZ · pith_short_16: XAINYCJAZBLZXQJA · pith_short_8: XAINYCJA

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/XAINYCJAZBLZXQJA43R6KCKOGH \
  | 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: b810dc0920c8579bc120e6e3e5094e31ca5d8c959758693f8e7c2e79cda6549f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cbe5d5f89126bea7c9ba8e23f6cd2fc3f1ba48c2fb193fdfe4dc628d89df116",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-29T12:03:50Z",
    "title_canon_sha256": "510ecab59e3ec2fc6c35fef7fddc7ff0138a014261459128758412a126f22275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6901",
    "kind": "arxiv",
    "version": 1
  }
}