Pith Number

pith:DXOHRJCR

pith:2018:DXOHRJCRJ43IW57HDFUW3AEAQX

not attested not anchored not stored refs pending

Absence of Dobrushin states for $2d$ long-range Ising models

Aernout C.D. van Enter, Arnaud Le Ny, Loren Coquille, Wioletta M. Ruszel

arxiv:1804.04889 v2 · 2018-04-13 · math.PR · cond-mat.stat-mech · 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{DXOHRJCRJ43IW57HDFUW3AEAQX}

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	2026-05-18T00:09:25.193995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ddc78a4514f368b77e719696d808085daa46706da697f3e78c223a309821d45

Aliases

arxiv: 1804.04889 · arxiv_version: 1804.04889v2 · doi: 10.48550/arxiv.1804.04889 · pith_short_12: DXOHRJCRJ43I · pith_short_16: DXOHRJCRJ43IW57H · pith_short_8: DXOHRJCR

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/DXOHRJCRJ43IW57HDFUW3AEAQX \
  | 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: 1ddc78a4514f368b77e719696d808085daa46706da697f3e78c223a309821d45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "966507497029e56f33b97ce1a82801cb402a9e3a3f94896d0ac82dffdb6f6f07",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-13T11:27:31Z",
    "title_canon_sha256": "8217f93cb533001b9ba1f12b8526a7739d1482f1162a08b65702f83c3fb80cea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04889",
    "kind": "arxiv",
    "version": 2
  }
}