Pith Number

pith:PXABTAG3

pith:2016:PXABTAG3DCMK5D4UIG6RR4SUJQ

not attested not anchored not stored refs pending

Convergence of MCMC and Loopy BP in the Tree Uniqueness Region for the Hard-Core Model

Charilaos Efthymiou, Daniel Stefankovic, Eric Vigoda, Thomas P. Hayes, Yitong Yin

arxiv:1604.01422 v2 · 2016-04-05 · cs.DM · 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{PXABTAG3DCMK5D4UIG6RR4SUJQ}

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	2026-05-18T01:07:48.966553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dc01980db1898ae8f9441bd18f2544c36aeb9a1b5b097bca482629a00b0dc7c

Aliases

arxiv: 1604.01422 · arxiv_version: 1604.01422v2 · doi: 10.48550/arxiv.1604.01422 · pith_short_12: PXABTAG3DCMK · pith_short_16: PXABTAG3DCMK5D4U · pith_short_8: PXABTAG3

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/PXABTAG3DCMK5D4UIG6RR4SUJQ \
  | 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: 7dc01980db1898ae8f9441bd18f2544c36aeb9a1b5b097bca482629a00b0dc7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2f33cf1172df7df12143ecebd3ccd465c9ac5bb8368dec7360c2a6a722ecd4c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-04-05T20:57:33Z",
    "title_canon_sha256": "450ab0c467205bfa21a1f16b6a6cc7f1a0133248011112f16e7667e8c24b0ee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01422",
    "kind": "arxiv",
    "version": 2
  }
}