Pith Number

pith:4LYJ7JDS

pith:2018:4LYJ7JDS4VYI4HDVZEXXZMJS4X

not attested not anchored not stored refs pending

A Lower Lower-Critical Spin-Glass Dimension from Quenched Mixed-Spatial-Dimensional Spin Glasses

A. Nihat Berker, Bora Atalay

arxiv:1809.06029 v1 · 2018-09-17 · cond-mat.stat-mech · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LYJ7JDS4VYI4HDVZEXXZMJS4X}

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	2026-05-18T00:02:30.735355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f09fa472e5708e1c75c92f7cb132e5ce0a7b6f4db662166e06cb5d9d836192

Aliases

arxiv: 1809.06029 · arxiv_version: 1809.06029v1 · doi: 10.48550/arxiv.1809.06029 · pith_short_12: 4LYJ7JDS4VYI · pith_short_16: 4LYJ7JDS4VYI4HDV · pith_short_8: 4LYJ7JDS

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/4LYJ7JDS4VYI4HDVZEXXZMJS4X \
  | 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: e2f09fa472e5708e1c75c92f7cb132e5ce0a7b6f4db662166e06cb5d9d836192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49590c07f6c157b2e50ad056e8985e0400db38b2509f998e2e117fe7e3b972a2",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-09-17T05:53:08Z",
    "title_canon_sha256": "f7c8f1f4a3509070063154ca4562223d768fbc7578f5984753f2648cad0fe1ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06029",
    "kind": "arxiv",
    "version": 1
  }
}