Pith Number

pith:YUY36OYO

pith:2009:YUY36OYODPMO7BWCKGGNNED2VH

not attested not anchored not stored refs pending

Phase transition for the mixing time of the Glauber dynamics for coloring regular trees

Eric Vigoda, Juan C. Vera, Linji Yang, Prasad Tetali

arxiv:0908.2665 v3 · 2009-08-19 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YUY36OYODPMO7BWCKGGNNED2VH}

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	2026-05-18T03:39:53.375959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c531bf3b0e1bd8ef86c2518cd6907aa9cab1c48174a2a257d3d7c5f7ad6e1a9b

Aliases

arxiv: 0908.2665 · arxiv_version: 0908.2665v3 · doi: 10.48550/arxiv.0908.2665 · pith_short_12: YUY36OYODPMO · pith_short_16: YUY36OYODPMO7BWC · pith_short_8: YUY36OYO

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/YUY36OYODPMO7BWCKGGNNED2VH \
  | 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: c531bf3b0e1bd8ef86c2518cd6907aa9cab1c48174a2a257d3d7c5f7ad6e1a9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ad57adfd9739b0d526acd007cd87c0b7e41fd8545487ec81394c7734b3da2c5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-08-19T02:15:56Z",
    "title_canon_sha256": "b99c69d3d865d3ae5a56380a5377067cbd1fe78e563a86930f48236734c91521"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2665",
    "kind": "arxiv",
    "version": 3
  }
}