Pith Number

pith:5V3FQNIM

pith:2025:5V3FQNIMQ3LXCSCEJYLWJYLPG6

not attested not anchored not stored refs pending

Computational complexity of spin-glass three-dimensional (3D) Ising model

Zhidong Zhang

arxiv:2506.02067 v1 · 2025-06-02 · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5V3FQNIMQ3LXCSCEJYLWJYLPG6}

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	2026-06-05T01:14:27.003082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed7658350c86d77148444e1764e16f378f8ad1b31968f038fb75d20a2bce0aae

Aliases

arxiv: 2506.02067 · arxiv_version: 2506.02067v1 · doi: 10.48550/arxiv.2506.02067 · pith_short_12: 5V3FQNIMQ3LX · pith_short_16: 5V3FQNIMQ3LXCSCE · pith_short_8: 5V3FQNIM

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/5V3FQNIMQ3LXCSCEJYLWJYLPG6 \
  | 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: ed7658350c86d77148444e1764e16f378f8ad1b31968f038fb75d20a2bce0aae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b11b6450a2626cb792c116bd976f08acd16886451cb6f0deb85886d2a302956d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2025-06-02T01:31:45Z",
    "title_canon_sha256": "d45be55159f800654938138b5f8cad23c7b65e35cfdeb940110698708c5a149a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02067",
    "kind": "arxiv",
    "version": 1
  }
}