Pith Number

pith:THD6QKYH

pith:2011:THD6QKYHHRAERRXGDRMW4A7TAX

not attested not anchored not stored refs pending

Mixing Times for the Mean-Field Blume-Capel Model via Aggregate Path Coupling

Mathew Titus, Peter T. Otto, Yevgeniy Kovchegov

arxiv:1102.3406 v1 · 2011-02-16 · 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{THD6QKYHHRAERRXGDRMW4A7TAX}

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	2026-05-18T02:03:10.296735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99c7e82b073c4048c6e61c596e03f305da703656e81b98bd7ed51b27b2e25bb6

Aliases

arxiv: 1102.3406 · arxiv_version: 1102.3406v1 · doi: 10.48550/arxiv.1102.3406 · pith_short_12: THD6QKYHHRAE · pith_short_16: THD6QKYHHRAERRXG · pith_short_8: THD6QKYH

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/THD6QKYHHRAERRXGDRMW4A7TAX \
  | 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: 99c7e82b073c4048c6e61c596e03f305da703656e81b98bd7ed51b27b2e25bb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ded03841320e93d4856d2a9474ba0051ec19f6e325218f2ff92bd4d90beb990",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-16T19:13:22Z",
    "title_canon_sha256": "299327d39c32bfb86060daf87f95e6886956b509f0d41faa88d7db51dc59fca9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3406",
    "kind": "arxiv",
    "version": 1
  }
}