Pith Number

pith:XFLEZJAL

pith:2024:XFLEZJALFYCAVIADX3ST32HZPY

not attested not anchored not stored refs pending

Phase transitions in low-dimensional long-range random field Ising models

Fenglin Huang, Jian Ding, Jo\~ao Maia

arxiv:2412.19281 v2 · 2024-12-26 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFLEZJALFYCAVIADX3ST32HZPY}

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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

Existence of a Phase Transition in the One-Dimensional Ising Spin Glass Model with Long-Range Interactions on the Nishimori Line

Receipt and verification

First computed	2026-07-05T10:02:56.947816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9564ca40b2e040aa003bee53de8f97e169683b3e0cbde03468683e7d3e40871

Aliases

arxiv: 2412.19281 · arxiv_version: 2412.19281v2 · doi: 10.48550/arxiv.2412.19281 · pith_short_12: XFLEZJALFYCA · pith_short_16: XFLEZJALFYCAVIAD · pith_short_8: XFLEZJAL

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/XFLEZJALFYCAVIADX3ST32HZPY \
  | 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: b9564ca40b2e040aa003bee53de8f97e169683b3e0cbde03468683e7d3e40871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73dc346fb6a3e2204c10e64a54f8d444163ac93aca15a77ae70622a85a79df2e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-26T16:56:04Z",
    "title_canon_sha256": "915cd4f81a4a05bad7b3a4188b11b1b69a0ba0313a3590bbf7ea14154b9cc318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19281",
    "kind": "arxiv",
    "version": 2
  }
}