Pith Number

pith:JHKXVGDN

pith:2016:JHKXVGDN2XS7W77SC5IWRHYXD7

not attested not anchored not stored refs pending

A phase transition in a Curie-Weiss system with binary interactions

M.P. Kozlovskii, O.A. Dobush, Yu.V. Kozitsky

arxiv:1610.01845 v4 · 2016-10-06 · 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{JHKXVGDN2XS7W77SC5IWRHYXD7}

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 cell fluid model with Curie-Weiss interactions: special cases and analytical results

Receipt and verification

First computed	2026-07-05T01:06:16.885960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49d57a986dd5e5fb7ff21751689f171ff8c61279bfb29d410597c598d8865c8a

Aliases

arxiv: 1610.01845 · arxiv_version: 1610.01845v4 · doi: 10.48550/arxiv.1610.01845 · pith_short_12: JHKXVGDN2XS7 · pith_short_16: JHKXVGDN2XS7W77S · pith_short_8: JHKXVGDN

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/JHKXVGDN2XS7W77SC5IWRHYXD7 \
  | 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: 49d57a986dd5e5fb7ff21751689f171ff8c61279bfb29d410597c598d8865c8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a802590a07e757625696626769fbe88e7fbfce46a9b93adef6f370116a56a9a5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-06T12:40:02Z",
    "title_canon_sha256": "904fc05f97b89c6a04591f648aa44d728d1537c43f649b8648e58ce8f2030c37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01845",
    "kind": "arxiv",
    "version": 4
  }
}