Pith Number

pith:5MF7XGDJ

pith:2020:5MF7XGDJQEGZ7VUVSPSMEJMFTK

not attested not anchored not stored refs pending

Rapid mixing from spectral independence beyond the Boolean domain

Chihao Zhang, Heng Guo, Weiming Feng, Yitong Yin

arxiv:2007.08091 v1 · 2020-07-16 · cs.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MF7XGDJQEGZ7VUVSPSMEJMFTK}

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

Sequential Sweeps and High Dimensional Expansion

Receipt and verification

First computed	2026-07-05T01:19:43.653406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb0bfb9869810d9fd69593e4c225859ab085b403dce81bcdb697093d661d2426

Aliases

arxiv: 2007.08091 · arxiv_version: 2007.08091v1 · doi: 10.48550/arxiv.2007.08091 · pith_short_12: 5MF7XGDJQEGZ · pith_short_16: 5MF7XGDJQEGZ7VUV · pith_short_8: 5MF7XGDJ

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/5MF7XGDJQEGZ7VUVSPSMEJMFTK \
  | 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: eb0bfb9869810d9fd69593e4c225859ab085b403dce81bcdb697093d661d2426

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "451486f9f25d8ac3bb50976f66fefccfec6d3e1aef4654e6294734f91e4d94a5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2020-07-16T03:29:11Z",
    "title_canon_sha256": "7f65be911a3c83752704be3c552c85d175e19ac881a2d02178866ae6d5219c7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.08091",
    "kind": "arxiv",
    "version": 1
  }
}