Pith Number

pith:KL2TYRAF

pith:2011:KL2TYRAFB4DIQ7MTY3J3XBAY2Z

not attested not anchored not stored refs pending

Improved Mixing Condition on the Grid for Counting and Sampling Independent Sets

Eric Vigoda, Jinwoo Shin, Linji Yang, Prasad Tetali, Ricardo Restrepo

arxiv:1105.0914 v3 · 2011-05-04 · math.PR · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KL2TYRAFB4DIQ7MTY3J3XBAY2Z}

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	2026-05-18T04:15:36.664761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52f53c44050f06887d93c6d3bb8418d66cc1b2e63267634e6331f5f80bd727dd

Aliases

arxiv: 1105.0914 · arxiv_version: 1105.0914v3 · doi: 10.48550/arxiv.1105.0914 · pith_short_12: KL2TYRAFB4DI · pith_short_16: KL2TYRAFB4DIQ7MT · pith_short_8: KL2TYRAF

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/KL2TYRAFB4DIQ7MTY3J3XBAY2Z \
  | 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: 52f53c44050f06887d93c6d3bb8418d66cc1b2e63267634e6331f5f80bd727dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4aeafaee7ded3c9214f17657bd7388a62270941fe64cb8bb6725c4f78d40a66",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-04T19:52:13Z",
    "title_canon_sha256": "e6495d3a0693b9392bbc9431c2461f8405148cb44681f057bc55b428c40a5735"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0914",
    "kind": "arxiv",
    "version": 3
  }
}