Pith Number

pith:5MZWGGTT

pith:2014:5MZWGGTT2PECFEHW2HVEINU6GR

not attested not anchored not stored refs pending

The worm algorithm for the Ising model is rapidly mixing

Andrea Collevecchio, Daniel Tokarev, Timothy Hyndman, Timothy M. Garoni

arxiv:1409.4484 v1 · 2014-09-16 · math-ph · cond-mat.stat-mech · cs.DM · math.CO · 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{5MZWGGTT2PECFEHW2HVEINU6GR}

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	2026-05-18T02:42:45.475575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb33631a73d3c82290f6d1ea44369e3465389a453127e828a77106b2ba4f53e5

Aliases

arxiv: 1409.4484 · arxiv_version: 1409.4484v1 · doi: 10.48550/arxiv.1409.4484 · pith_short_12: 5MZWGGTT2PEC · pith_short_16: 5MZWGGTT2PECFEHW · pith_short_8: 5MZWGGTT

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/5MZWGGTT2PECFEHW2HVEINU6GR \
  | 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: eb33631a73d3c82290f6d1ea44369e3465389a453127e828a77106b2ba4f53e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3abb63f5ca696a758d245af578f3681f4df2423cabbabfcf8504597e111ebf3",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.DM",
      "math.CO",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-09-16T01:51:31Z",
    "title_canon_sha256": "7ec8c9b39f3eb6059002eda6802a972fe1d79d536864b18828adcde9d42501be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4484",
    "kind": "arxiv",
    "version": 1
  }
}