Pith Number

pith:7XUKGHJC

pith:2012:7XUKGHJCHDDKAPCRAS5RK5VMKW

not attested not anchored not stored refs pending

Toeplitz matrices and Toeplitz determinants under the impetus of the Ising model. Some history and some recent results

A. Its, I. Krasovsky, P. Deift

arxiv:1207.4990 v3 · 2012-07-20 · math.FA · math-ph · math.CA · 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{7XUKGHJCHDDKAPCRAS5RK5VMKW}

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	2026-05-18T02:32:06.371738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fde8a31d2238c6a03c5104bb1576ac55b8c469b3e2aebe94294a57e14828ec71

Aliases

arxiv: 1207.4990 · arxiv_version: 1207.4990v3 · doi: 10.48550/arxiv.1207.4990 · pith_short_12: 7XUKGHJCHDDK · pith_short_16: 7XUKGHJCHDDKAPCR · pith_short_8: 7XUKGHJC

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/7XUKGHJCHDDKAPCRAS5RK5VMKW \
  | 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: fde8a31d2238c6a03c5104bb1576ac55b8c469b3e2aebe94294a57e14828ec71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2784d5e225ec19e2e90f6ac80d5242e768a4df5051c0e96ac2ddbaccf33d6d1",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-20T16:14:04Z",
    "title_canon_sha256": "f86d9c34f36df3edfdd7a0e22350deee5ccb77070d575b2020b23b9ea6fcb18a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4990",
    "kind": "arxiv",
    "version": 3
  }
}