Pith Number

pith:AMPGX6BT

pith:2021:AMPGX6BTXYN2FPAO3EN6D4YDMR

not attested not anchored not stored refs pending

Geometric Bounds on the Fastest Mixing Markov Chain

Luca Zanetti, Sam Olesker-Taylor

arxiv:2111.05816 v1 · 2021-11-10 · math.PR · cs.DM · 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{AMPGX6BTXYN2FPAO3EN6D4YDMR}

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	2026-07-05T09:46:39.132478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

031e6bf833be1ba2bc0ed91be1f303647a8596b4d4670cb538259d4e3739a6b9

Aliases

arxiv: 2111.05816 · arxiv_version: 2111.05816v1 · doi: 10.48550/arxiv.2111.05816 · pith_short_12: AMPGX6BTXYN2 · pith_short_16: AMPGX6BTXYN2FPAO · pith_short_8: AMPGX6BT

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/AMPGX6BTXYN2FPAO3EN6D4YDMR \
  | 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: 031e6bf833be1ba2bc0ed91be1f303647a8596b4d4670cb538259d4e3739a6b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc2d28095ed137fb4d2157e31a333f97f421732e0dbc48d3a2646c821519246b",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-11-10T17:19:01Z",
    "title_canon_sha256": "40a08497ca0d7a06ae7645cf5a916c66454346ac54e5fa6bd69bd5b09f40e913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.05816",
    "kind": "arxiv",
    "version": 1
  }
}