Pith Number

pith:SBO4X25A

pith:2012:SBO4X25ATN3RMI6ZTPUXWDHSHE

not attested not anchored not stored refs pending

On the asymptotics of a Toeplitz determinant with singularities

A. Its, I. Krasovsky, P. Deift

arxiv:1206.1292 v1 · 2012-06-06 · 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{SBO4X25ATN3RMI6ZTPUXWDHSHE}

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	2026-05-18T03:54:06.530791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

905dcbeba09b771623d99be97b0cf239324d32e6c5d9ca06b8e76744de758389

Aliases

arxiv: 1206.1292 · arxiv_version: 1206.1292v1 · doi: 10.48550/arxiv.1206.1292 · pith_short_12: SBO4X25ATN3R · pith_short_16: SBO4X25ATN3RMI6Z · pith_short_8: SBO4X25A

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/SBO4X25ATN3RMI6ZTPUXWDHSHE \
  | 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: 905dcbeba09b771623d99be97b0cf239324d32e6c5d9ca06b8e76744de758389

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "987712c8cd62a9c03cf703c40124f0cc9b8b012b4c36705152bc97ff4e6403d7",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-06-06T18:22:30Z",
    "title_canon_sha256": "922e05522ce4ddc3e991c7192691fef2293ebce89a03db2bcc250fde7203833b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1292",
    "kind": "arxiv",
    "version": 1
  }
}