Pith Number

pith:EMSD3CLC

pith:2026:EMSD3CLCLQG7WZBTQLJ6UKRXNI

not attested not anchored not stored refs pending

What Is a Pattern in Statistical Mechanics? Formalizing Structure and Patterns in One-Dimensional Spin Lattice Models with Computational Mechanics

Omar Aguilar

arxiv:2606.08509 v1 · 2026-06-07 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EMSD3CLCLQG7WZBTQLJ6UKRXNI}

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	2026-06-09T01:05:38.633780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23243d89625c0dfb643382d3ea2a376a33eb5819964d07488a118c7912a610e9

Aliases

arxiv: 2606.08509 · arxiv_version: 2606.08509v1 · doi: 10.48550/arxiv.2606.08509 · pith_short_12: EMSD3CLCLQG7 · pith_short_16: EMSD3CLCLQG7WZBT · pith_short_8: EMSD3CLC

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/EMSD3CLCLQG7WZBTQLJ6UKRXNI \
  | 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: 23243d89625c0dfb643382d3ea2a376a33eb5819964d07488a118c7912a610e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50290ab7699bf4dae62d84caab586a46238f38f0a72c60d1c3b2bc01dc9435a3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-06-07T08:25:39Z",
    "title_canon_sha256": "6f7d493546ecd8d3ef2fb9a15d08cfd4831132275c70af2f684d5c7638e26f85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08509",
    "kind": "arxiv",
    "version": 1
  }
}