Pith Number

pith:2KWLB3TS

pith:2013:2KWLB3TS4VYMXTSPGWBBSNHFUC

not attested not anchored not stored refs pending

The Trace Problem for Toeplitz Matrices and Operators and its Impact in Probability

Artur A. Sahakyan, Mamikon S. Ginovyan, Murad S. Taqqu

arxiv:1304.6703 v1 · 2013-04-24 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KWLB3TS4VYMXTSPGWBBSNHFUC}

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	2026-05-18T03:27:12.321730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2acb0ee72e570cbce4f35821934e5a0a7c8598592b5da73386c9bbc9fa28dfb

Aliases

arxiv: 1304.6703 · arxiv_version: 1304.6703v1 · doi: 10.48550/arxiv.1304.6703 · pith_short_12: 2KWLB3TS4VYM · pith_short_16: 2KWLB3TS4VYMXTSP · pith_short_8: 2KWLB3TS

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/2KWLB3TS4VYMXTSPGWBBSNHFUC \
  | 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: d2acb0ee72e570cbce4f35821934e5a0a7c8598592b5da73386c9bbc9fa28dfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05e3890255ce2f4f3d5f12addcc97b40f0a5ff68805585798377b90c15da7b8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-24T19:38:08Z",
    "title_canon_sha256": "67fde2d6253309911cbbe68abe84e387f3514042385cecd206ea8e86699674cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6703",
    "kind": "arxiv",
    "version": 1
  }
}