Pith Number

pith:DGJ5Z6Q7

pith:2018:DGJ5Z6Q7WY2576GGBHD7CT5PQD

not attested not anchored not stored refs pending

Rapid mixing of Glauber dynamics for colorings below Vigoda's $11/6$ threshold

Guillem Perarnau, Luke Postle, Michelle Delcourt

arxiv:1804.04025 v1 · 2018-04-11 · cs.DM · cs.DS · math.CO · 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{DGJ5Z6Q7WY2576GGBHD7CT5PQD}

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	2026-05-18T00:18:42.309755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1993dcfa1fb635dff8c609c7f14faf80f3eaf5ff65434492ac7f19ece01c2906

Aliases

arxiv: 1804.04025 · arxiv_version: 1804.04025v1 · doi: 10.48550/arxiv.1804.04025 · pith_short_12: DGJ5Z6Q7WY25 · pith_short_16: DGJ5Z6Q7WY2576GG · pith_short_8: DGJ5Z6Q7

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/DGJ5Z6Q7WY2576GGBHD7CT5PQD \
  | 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: 1993dcfa1fb635dff8c609c7f14faf80f3eaf5ff65434492ac7f19ece01c2906

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90ac2a6d6e8ba771963fb692269d50e85f2866ee54766e007539bc27e9e6757b",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-04-11T14:38:23Z",
    "title_canon_sha256": "4a781064f94883148b3ddd206ed7444577ed97eba8480542cc915a13bc2ddd8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04025",
    "kind": "arxiv",
    "version": 1
  }
}