Pith Number

pith:KLJWLLB6

pith:2014:KLJWLLB6BXHYAOSQ75N2WWXBZL

not attested not anchored not stored refs pending

The Best Mixing Time for Random Walks on Trees

Andrew Beveridge, Jeanmarie Youngblood

arxiv:1410.5112 v1 · 2014-10-19 · 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{KLJWLLB6BXHYAOSQ75N2WWXBZL}

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	2026-05-18T02:39:46.884887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d365ac3e0dcf803a50ff5bab5ae1cac480589412cb214199209e6d758e2e67

Aliases

arxiv: 1410.5112 · arxiv_version: 1410.5112v1 · doi: 10.48550/arxiv.1410.5112 · pith_short_12: KLJWLLB6BXHY · pith_short_16: KLJWLLB6BXHYAOSQ · pith_short_8: KLJWLLB6

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/KLJWLLB6BXHYAOSQ75N2WWXBZL \
  | 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: 52d365ac3e0dcf803a50ff5bab5ae1cac480589412cb214199209e6d758e2e67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dad49a60cb781cb8eb3493138fe51b8febb95d28ffcba6c90af24ba0b9ab72a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-19T21:07:28Z",
    "title_canon_sha256": "f008c808714cb0ebc2a8b06c2b6d906297875e16bbd598122e375de931288a00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5112",
    "kind": "arxiv",
    "version": 1
  }
}