Pith Number

pith:Y5OUTX6G

pith:2022:Y5OUTX6G5NCYFWSK42VYP7PKB5

not attested not anchored not stored refs pending

Upper and Lower Bounds for the Correlation Length of the Two-Dimensional Random-Field Ising Model

Yoav Bar-Nir

arxiv:2205.01522 v3 · 2022-05-03 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5OUTX6G5NCYFWSK42VYP7PKB5}

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

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features

Receipt and verification

First computed	2026-07-05T04:23:55.786113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c75d49dfc6eb4582da4ae6ab87fdea0f70d67406348d852f830c657a6160db76

Aliases

arxiv: 2205.01522 · arxiv_version: 2205.01522v3 · doi: 10.48550/arxiv.2205.01522 · pith_short_12: Y5OUTX6G5NCY · pith_short_16: Y5OUTX6G5NCYFWSK · pith_short_8: Y5OUTX6G

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/Y5OUTX6G5NCYFWSK42VYP7PKB5 \
  | 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: c75d49dfc6eb4582da4ae6ab87fdea0f70d67406348d852f830c657a6160db76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92e6c8c2d7aa8da6282eca228cb215b43f31f2ab1f3d92165b35f3c4eb0337f6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-05-03T14:17:15Z",
    "title_canon_sha256": "577349f3fe2cd646892ef9cdadf8ba1466ccf42d84cf5ded8eabe985ac148e3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.01522",
    "kind": "arxiv",
    "version": 3
  }
}