Pith Number

pith:L5L2ICNM

pith:2017:L5L2ICNMBALXSKMMTVRMWKAQKL

not attested not anchored not stored refs pending

The effect of boundary conditions on mixing of 2D Potts models at discontinuous phase transitions

Eyal Lubetzky, Reza Gheissari

arxiv:1701.00181 v4 · 2017-01-01 · 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{L5L2ICNMBALXSKMMTVRMWKAQKL}

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	2026-05-18T00:14:16.616602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f57a409ac081779298c9d62cb281052fe8edc1d04da09ef4823d414be855d67

Aliases

arxiv: 1701.00181 · arxiv_version: 1701.00181v4 · doi: 10.48550/arxiv.1701.00181 · pith_short_12: L5L2ICNMBALX · pith_short_16: L5L2ICNMBALXSKMM · pith_short_8: L5L2ICNM

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/L5L2ICNMBALXSKMMTVRMWKAQKL \
  | 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: 5f57a409ac081779298c9d62cb281052fe8edc1d04da09ef4823d414be855d67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc8bc91462ee3dd83c3bba0c71a79ab82b82b53c24781698cc129f468513d6d3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-01T00:37:32Z",
    "title_canon_sha256": "d3ed1d2c6715e5016fe788bc75d5b60453c8a2642b1ebea57e251e21f9a451e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00181",
    "kind": "arxiv",
    "version": 4
  }
}