Pith Number

pith:ILXDNREL

pith:2026:ILXDNRELH7FTXJ5UNVWCQH2HNZ

not attested not anchored not stored refs pending

Preserver problems on Toeplitz matrices

Chi-Kwong Li, Rayhan Ahmed, Vladimir Bolotnikov, William Hoyle

arxiv:2603.06721 v2 · 2026-03-06 · 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{ILXDNRELH7FTXJ5UNVWCQH2HNZ}

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	2026-06-04T01:08:47.350186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42ee36c48b3fcb3ba7b46d6c281f476e5f826146f42260d315625323d4fe34c4

Aliases

arxiv: 2603.06721 · arxiv_version: 2603.06721v2 · doi: 10.48550/arxiv.2603.06721 · pith_short_12: ILXDNRELH7FT · pith_short_16: ILXDNRELH7FTXJ5U · pith_short_8: ILXDNREL

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/ILXDNRELH7FTXJ5UNVWCQH2HNZ \
  | 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: 42ee36c48b3fcb3ba7b46d6c281f476e5f826146f42260d315625323d4fe34c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccf9d545f62d0cdb3c36212e9f4f6183abdebc5f0e08ae739b46412599895fd2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-03-06T00:21:00Z",
    "title_canon_sha256": "24818ae26bc7be23e2c156675f3b42130f73f8d8c9fbf68815b3efdaced3840f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.06721",
    "kind": "arxiv",
    "version": 2
  }
}