Pith Number

pith:AD75DO32

pith:2018:AD75DO32O6ZBCHG5M4OK5G43XA

not attested not anchored not stored refs pending

Modified Szego-Widom Asymptotics for Block Toeplitz Matrices with Zero Modes

E. Basor, J. Dubail, R. Santachiara, T. Emig

arxiv:1806.09494 v2 · 2018-06-25 · math-ph · cond-mat.stat-mech · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AD75DO32O6ZBCHG5M4OK5G43XA}

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	2026-05-17T23:55:58.373143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00ffd1bb7a77b2111cdd671cae9b9bb83290986e2bd0cdb3e4927cb59021f634

Aliases

arxiv: 1806.09494 · arxiv_version: 1806.09494v2 · doi: 10.48550/arxiv.1806.09494 · pith_short_12: AD75DO32O6ZB · pith_short_16: AD75DO32O6ZBCHG5 · pith_short_8: AD75DO32

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/AD75DO32O6ZBCHG5M4OK5G43XA \
  | 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: 00ffd1bb7a77b2111cdd671cae9b9bb83290986e2bd0cdb3e4927cb59021f634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4241cdca53535f20404c4d05b445b25036e81c2e480d21f62a5e0b6d442c7913",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-06-25T14:39:40Z",
    "title_canon_sha256": "22e8adbde7feec68097ef76bc3aa1884476111173d9787fc89af9d7491e0e061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09494",
    "kind": "arxiv",
    "version": 2
  }
}