Pith Number

pith:6LZCYY6Q

pith:2025:6LZCYY6QUM7YUHE5NETRNMSTSX

not attested not anchored not stored refs pending

Parallel spin wave for the Villain model

Paul Dario, Wei Wu

arxiv:2507.04098 v1 · 2025-07-05 · math.PR · 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{6LZCYY6QUM7YUHE5NETRNMSTSX}

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	2026-07-05T11:32:41.965218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2f22c63d0a33f8a1c9d692716b25395c6beedc6e380208d1d4a1acacd49bc0c

Aliases

arxiv: 2507.04098 · arxiv_version: 2507.04098v1 · doi: 10.48550/arxiv.2507.04098 · pith_short_12: 6LZCYY6QUM7Y · pith_short_16: 6LZCYY6QUM7YUHE5 · pith_short_8: 6LZCYY6Q

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/6LZCYY6QUM7YUHE5NETRNMSTSX \
  | 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: f2f22c63d0a33f8a1c9d692716b25395c6beedc6e380208d1d4a1acacd49bc0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc7e04719e187f7c861bb2a9859a2bfa1056f82f89a96591c93c299afb866429",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-05T16:48:01Z",
    "title_canon_sha256": "76cf592abd83fd01f81322766893a22a237c1340c1d34e7982649cc6e370c14e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04098",
    "kind": "arxiv",
    "version": 1
  }
}