Pith Number

pith:DFSWWY3Y

pith:2019:DFSWWY3YFFS4GZJZXFD2N4PEGL

not attested not anchored not stored refs pending

Magnetization in the zig-zag layered Ising model and orthogonal polynomials

Cl\'ement Hongler, Dmitry Chelkak, R\'emy Mahfouf

arxiv:1904.09168 v4 · 2019-04-19 · math-ph · math.MP · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFSWWY3YFFS4GZJZXFD2N4PEGL}

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

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants

Receipt and verification

First computed	2026-07-05T05:28:03.559850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19656b63782965c36539b947a6f1e432ef290e06884cc783ea5ef7ce652a9478

Aliases

arxiv: 1904.09168 · arxiv_version: 1904.09168v4 · doi: 10.48550/arxiv.1904.09168 · pith_short_12: DFSWWY3YFFS4 · pith_short_16: DFSWWY3YFFS4GZJZ · pith_short_8: DFSWWY3Y

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/DFSWWY3YFFS4GZJZXFD2N4PEGL \
  | 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: 19656b63782965c36539b947a6f1e432ef290e06884cc783ea5ef7ce652a9478

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b70b34b3b1945d843c795c902f75d8ee74395d3d7acc802b24ec8c3b84959ab3",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-04-19T12:36:29Z",
    "title_canon_sha256": "7c761aac8edd58cebce03c996e5f0b881104995c8aed37872c23471ce790c35b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09168",
    "kind": "arxiv",
    "version": 4
  }
}