Pith Number

pith:UZPIVKMT

pith:2010:UZPIVKMTEYC4VQJQAP3BEMDAWE

not attested not anchored not stored refs pending

Emergence of a singularity for Toeplitz determinants and Painleve V

A. Its, I. Krasovsky, T. Claeys

arxiv:1004.3696 v2 · 2010-04-21 · math-ph · math.CA · math.FA · 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{UZPIVKMTEYC4VQJQAP3BEMDAWE}

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.

Cited by

1 paper in Pith

Emptiness formation probability and Painlev\'e V equation in the XY spin chain

Receipt and verification

First computed	2026-07-05T00:26:52.590690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a65e8aa9932605cac13003f6123060b13388a0644312acfc4ae540c91fefeadd

Aliases

arxiv: 1004.3696 · arxiv_version: 1004.3696v2 · doi: 10.48550/arxiv.1004.3696 · pith_short_12: UZPIVKMTEYC4 · pith_short_16: UZPIVKMTEYC4VQJQ · pith_short_8: UZPIVKMT

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/UZPIVKMTEYC4VQJQAP3BEMDAWE \
  | 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: a65e8aa9932605cac13003f6123060b13388a0644312acfc4ae540c91fefeadd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b106294037ddcc46c6c1f46a94524bdafd0352c03a8002e8d5b4ccff0fb2a2b9",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-04-21T13:15:13Z",
    "title_canon_sha256": "d00a72fc12eb19c466af0781a5767ea16c553227a8f5765a70a75e07e8020ee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3696",
    "kind": "arxiv",
    "version": 2
  }
}