Pith Number

pith:KZYQXKAH

pith:2023:KZYQXKAHKRLO7PYBUZCXU337H2

not attested not anchored not stored refs pending

A phase transition and critical phenomenon for the two-dimensional random field Ising model

Aoteng Xia, Fenglin Huang, Jian Ding

arxiv:2310.12141 v3 · 2023-10-18 · 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{KZYQXKAHKRLO7PYBUZCXU337H2}

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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

The stability of long-range order in disordered systems: A generalized Ding-Zhuang argument

Receipt and verification

First computed	2026-07-05T07:51:34.177926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56710ba8075456efbf01a6457a6f7f3eb7a65ea027d2cb777658e29c049fa897

Aliases

arxiv: 2310.12141 · arxiv_version: 2310.12141v3 · doi: 10.48550/arxiv.2310.12141 · pith_short_12: KZYQXKAHKRLO · pith_short_16: KZYQXKAHKRLO7PYB · pith_short_8: KZYQXKAH

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/KZYQXKAHKRLO7PYBUZCXU337H2 \
  | 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: 56710ba8075456efbf01a6457a6f7f3eb7a65ea027d2cb777658e29c049fa897

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "885ebee37e03f2eb95818d51b3fbf333692f8a2e7a9d0972716d554f9b40fc8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-10-18T17:53:01Z",
    "title_canon_sha256": "384e4bb98f45adc2eafef264319e03e970b713ac1e713628764087caea9561f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.12141",
    "kind": "arxiv",
    "version": 3
  }
}