Pith Number

pith:KEBYYG6R

pith:2019:KEBYYG6RIZGHZM2I4ZWSCP44NV

not attested not anchored not stored refs pending

The mixing time of the switch Markov chains: a unified approach

Catherine Greenhill, D\'aniel Solt\'esz, Istv\'an Mikl\'os, Lajos Soukup, P\'eter L. Erd\H{o}s, Tam\'as R\'obert Mezei

arxiv:1903.06600 v5 · 2019-03-15 · 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{KEBYYG6RIZGHZM2I4ZWSCP44NV}

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	2026-07-05T06:52:41.956271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51038c1bd1464c7cb348e66d213f9c6d7a568338a8acd265dd72b8a93150a46a

Aliases

arxiv: 1903.06600 · arxiv_version: 1903.06600v5 · doi: 10.48550/arxiv.1903.06600 · pith_short_12: KEBYYG6RIZGH · pith_short_16: KEBYYG6RIZGHZM2I · pith_short_8: KEBYYG6R

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/KEBYYG6RIZGHZM2I4ZWSCP44NV \
  | 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: 51038c1bd1464c7cb348e66d213f9c6d7a568338a8acd265dd72b8a93150a46a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbb3b0c2e1632329934bbe09fda7d3e6182fcedab20bcd3b905f2ea599d45f60",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-15T15:25:43Z",
    "title_canon_sha256": "5c4ad82664257738dbb249b256a9df6e873f6ad4c5e28203a754030784cbef5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06600",
    "kind": "arxiv",
    "version": 5
  }
}