Pith Number

pith:V3ZVFIR7

pith:2019:V3ZVFIR75WPFHMAWCG2RYHZ646

not attested not anchored not stored refs pending

Fluctuations of the Magnetization for Ising Models on Dense Erd\H{o}s-R\'enyi Random Graphs

Kristina Schubert, Matthias L\"owe, Zakhar Kabluchko

arxiv:1905.12326 v1 · 2019-05-29 · 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{V3ZVFIR75WPFHMAWCG2RYHZ646}

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.

Receipt and verification

First computed	2026-05-17T23:44:44.641516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aef352a23fed9e53b01611b51c1f3ee7bdea6a3235b859195d3cd4332bce24d9

Aliases

arxiv: 1905.12326 · arxiv_version: 1905.12326v1 · doi: 10.48550/arxiv.1905.12326 · pith_short_12: V3ZVFIR75WPF · pith_short_16: V3ZVFIR75WPFHMAW · pith_short_8: V3ZVFIR7

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/V3ZVFIR75WPFHMAWCG2RYHZ646 \
  | 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: aef352a23fed9e53b01611b51c1f3ee7bdea6a3235b859195d3cd4332bce24d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fac040d0ddbf5bee1034315248738e85f7bc5d2f98e60cdafa3a259085f39e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-29T11:04:41Z",
    "title_canon_sha256": "911367f06da69aebabb81cbf3a97988c75eb495a22d95a8f737a002b10ab0a77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12326",
    "kind": "arxiv",
    "version": 1
  }
}