Pith Number

pith:V5ZMSVFQ

pith:2026:V5ZMSVFQ63QXYNYFHMNHQKDXWS

not attested not anchored not stored refs pending

Phase transitions in generalized XY models

Fabio Plaga

arxiv:2608.04972 v1 · 2026-08-05 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5ZMSVFQ63QXYNYFHMNHQKDXWS}

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	2026-08-06T01:47:58.600208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af72c954b0f6e17c37053b1a782877b4a2735d6e8921a5919bf9b462baf50f3d

Aliases

arxiv: 2608.04972 · arxiv_version: 2608.04972v1 · doi: 10.48550/arxiv.2608.04972 · pith_short_12: V5ZMSVFQ63QX · pith_short_16: V5ZMSVFQ63QXYNYF · pith_short_8: V5ZMSVFQ

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/V5ZMSVFQ63QXYNYFHMNHQKDXWS \
  | 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: af72c954b0f6e17c37053b1a782877b4a2735d6e8921a5919bf9b462baf50f3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5fa7fe19e46b590a824e6512c67dd31aecf26ac154dbd4ba52331f84ece196e",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-08-05T15:43:44Z",
    "title_canon_sha256": "fe76142ac11aa66595a27a82de0053c8ba82dab8199199622fa8e061c74366e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04972",
    "kind": "arxiv",
    "version": 1
  }
}