Pith Number

pith:FGCNIYZW

pith:2025:FGCNIYZWXG6CHXPPQQYTI64KKR

not attested not anchored not stored refs pending

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

Hai-Jun Zhou, Jianwen Zhou, Ruifeng Liu, Yejia Chen

arxiv:2507.11445 v1 · 2025-07-15 · math-ph · cond-mat.dis-nn · 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{FGCNIYZWXG6CHXPPQQYTI64KKR}

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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

Thermodynamic phase transitions in lattice spin systems with severe kinetic constraints: Numerical simulation results

Receipt and verification

First computed	2026-07-05T11:37:39.431812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2984d46336b9bc23ddef8431347b8a545f5efeaa3bbcb4106f9d65ffd4000869

Aliases

arxiv: 2507.11445 · arxiv_version: 2507.11445v1 · doi: 10.48550/arxiv.2507.11445 · pith_short_12: FGCNIYZWXG6C · pith_short_16: FGCNIYZWXG6CHXPP · pith_short_8: FGCNIYZW

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/FGCNIYZWXG6CHXPPQQYTI64KKR \
  | 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: 2984d46336b9bc23ddef8431347b8a545f5efeaa3bbcb4106f9d65ffd4000869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ad6d335295a5230dca4cd1e3b9ea055834d093090a8913a2676411118f271c5",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-07-15T16:08:00Z",
    "title_canon_sha256": "e0fd9bfed3b19a56ce0b979e89836caa41f45327987c3289b0c92e99471cc325"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11445",
    "kind": "arxiv",
    "version": 1
  }
}