Pith Number

pith:ALZBHH2G

pith:2019:ALZBHH2GJYLMNEIMULYYXZXFRZ

not attested not anchored not stored refs pending

Cutoff for Random Walks on Upper Triangular Matrices

Jonathan Hermon, Sam Olesker-Taylor

arxiv:1911.02974 v2 · 2019-11-07 · math.PR · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALZBHH2GJYLMNEIMULYYXZXFRZ}

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.

Cited by

1 paper in Pith

Cutoff for mixtures of permuted Markov chains: reversible case

Receipt and verification

First computed	2026-07-05T02:12:39.996671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02f2139f464e16c6910ca2f18be6e58e4e7d0c36d0ecf99964ed78a6059d7889

Aliases

arxiv: 1911.02974 · arxiv_version: 1911.02974v2 · doi: 10.48550/arxiv.1911.02974 · pith_short_12: ALZBHH2GJYLM · pith_short_16: ALZBHH2GJYLMNEIM · pith_short_8: ALZBHH2G

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/ALZBHH2GJYLMNEIMULYYXZXFRZ \
  | 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: 02f2139f464e16c6910ca2f18be6e58e4e7d0c36d0ecf99964ed78a6059d7889

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b1ddacfe3d9546309013928b810a3c64fafafa045c752ac2ab987f4cdf57829",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-11-07T17:22:00Z",
    "title_canon_sha256": "af6c1c21e3873c7973f36417277cfdb629ccb0c9111bb0bc0c3357f1c0745e15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.02974",
    "kind": "arxiv",
    "version": 2
  }
}