Pith Number

pith:5Z666P3L

pith:2012:5Z666P3LZI36KFBGWWS7GRVJU5

not attested not anchored not stored refs pending

Slow mixing of Glauber Dynamics for the hard-core model on regular bipartite graphs

David Galvin, Prasad Tetali

arxiv:1206.3165 v1 · 2012-06-14 · math.CO · 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{5Z666P3LZI36KFBGWWS7GRVJU5}

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	2026-05-18T03:53:32.410266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee7def3f6bca37e51426b5a5f346a9a77f53e7f484e4f4b4bd9adad07161bee2

Aliases

arxiv: 1206.3165 · arxiv_version: 1206.3165v1 · doi: 10.48550/arxiv.1206.3165 · pith_short_12: 5Z666P3LZI36 · pith_short_16: 5Z666P3LZI36KFBG · pith_short_8: 5Z666P3L

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/5Z666P3LZI36KFBGWWS7GRVJU5 \
  | 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: ee7def3f6bca37e51426b5a5f346a9a77f53e7f484e4f4b4bd9adad07161bee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a180db7bcd2c336dd412091094aef348ec367246c5647e9d9bf1c999a3a8b83",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-14T16:20:38Z",
    "title_canon_sha256": "6be7a4f833f9e30cb1b095e51bbc0752ffd78ee28dede149a9e3e0af7ada8511"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3165",
    "kind": "arxiv",
    "version": 1
  }
}