Pith Number

pith:M6AFZK5S

pith:2021:M6AFZK5SGMO6VLRUTNGOZR3Y4J

not attested not anchored not stored refs pending

Unsupervised machine learning approaches to the $q$-state Potts model

Andrea Tirelli, Danyella O. Carvalho, J.P. Lima, Lucas A. Oliveira, Natanael C. Costa, Raimundo R. dos Santos

arxiv:2112.06735 v2 · 2021-12-13 · cond-mat.stat-mech · cs.LG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6AFZK5SGMO6VLRUTNGOZR3Y4J}

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	2026-07-05T05:20:33.722561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67805cabb2331deaae349b4cecc778e2466948dc9a4c00904783b19ffbb25e73

Aliases

arxiv: 2112.06735 · arxiv_version: 2112.06735v2 · doi: 10.48550/arxiv.2112.06735 · pith_short_12: M6AFZK5SGMO6 · pith_short_16: M6AFZK5SGMO6VLRU · pith_short_8: M6AFZK5S

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/M6AFZK5SGMO6VLRUTNGOZR3Y4J \
  | 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: 67805cabb2331deaae349b4cecc778e2466948dc9a4c00904783b19ffbb25e73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "148e98adeaf2cf2ef3f7785079a77545bd2aaaa9bd1ec5c4e05451c12a8c5a3d",
    "cross_cats_sorted": [
      "cs.LG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2021-12-13T15:37:13Z",
    "title_canon_sha256": "79a6b115653c98bd64a55bdde8af2fe4174d77bb5d09bf796f7e68ef0860f552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.06735",
    "kind": "arxiv",
    "version": 2
  }
}