Pith Number

pith:T7TCFSQB

pith:2018:T7TCFSQBYCA3FXNFREYE6VV2HH

not attested not anchored not stored refs pending

Random-cluster dynamics in $\mathbb Z^2$: rapid mixing with general boundary conditions

Antonio Blanca, Eric Vigoda, Reza Gheissari

arxiv:1807.08722 v2 · 2018-07-23 · 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{T7TCFSQBYCA3FXNFREYE6VV2HH}

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	2026-05-17T23:47:03.037079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fe622ca01c081b2dda589304f56ba39f779dd38392826581988961ebee7e89f

Aliases

arxiv: 1807.08722 · arxiv_version: 1807.08722v2 · doi: 10.48550/arxiv.1807.08722 · pith_short_12: T7TCFSQBYCA3 · pith_short_16: T7TCFSQBYCA3FXNF · pith_short_8: T7TCFSQB

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/T7TCFSQBYCA3FXNFREYE6VV2HH \
  | 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: 9fe622ca01c081b2dda589304f56ba39f779dd38392826581988961ebee7e89f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "991659e6b758b6271301d6b8fbbcdcc0d0c8f2f4e83dac0e2a85392679350371",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-23T17:08:13Z",
    "title_canon_sha256": "48d6ebb423343d3d31cd710bbb959eeda086f7262027f1612f896d606d08b402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08722",
    "kind": "arxiv",
    "version": 2
  }
}