Pith Number

pith:W6CZISHY

pith:2024:W6CZISHYG42DEB4RTMPNLZV6U7

not attested not anchored not stored refs pending

Phase Transitions in Ising models: the Semi-infinite with decaying field and the Random Field Long-range

Jo\~ao Maia

arxiv:2403.04921 v1 · 2024-03-07 · math-ph · cond-mat.stat-mech · math.MP · 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{W6CZISHYG42DEB4RTMPNLZV6U7}

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

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

Receipt and verification

First computed	2026-07-05T07:53:35.976172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7859448f837343207919b1ed5e6bea7f87917df305730cb2dd4b3eb0fc3d6b3

Aliases

arxiv: 2403.04921 · arxiv_version: 2403.04921v1 · doi: 10.48550/arxiv.2403.04921 · pith_short_12: W6CZISHYG42D · pith_short_16: W6CZISHYG42DEB4R · pith_short_8: W6CZISHY

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/W6CZISHYG42DEB4RTMPNLZV6U7 \
  | 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: b7859448f837343207919b1ed5e6bea7f87917df305730cb2dd4b3eb0fc3d6b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c7069b662af11cdc7ed3b02be1d1b39b0321315677e0acf778f8f339763790",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-03-07T22:09:33Z",
    "title_canon_sha256": "1b0275de21840b3dd74bbfe1cf287db9defec8551b933c3c395b997a98b882fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.04921",
    "kind": "arxiv",
    "version": 1
  }
}