Pith Number

pith:MXKO55AP

pith:2022:MXKO55APJA5W2XWXRXXQBNRKNP

not attested not anchored not stored refs pending

A New Berry-Esseen Theorem for Expander Walks

Louis Golowich

arxiv:2212.08134 v2 · 2022-12-15 · math.PR · 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{MXKO55APJA5W2XWXRXXQBNRKNP}

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

The entropic coherence is a necessary resource for non-energy preserving gates

Receipt and verification

First computed	2026-07-05T06:06:57.015809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65d4eef40f483b6d5ed78def00b62a6be8d179348b160c3860927ad84db24c30

Aliases

arxiv: 2212.08134 · arxiv_version: 2212.08134v2 · doi: 10.48550/arxiv.2212.08134 · pith_short_12: MXKO55APJA5W · pith_short_16: MXKO55APJA5W2XWX · pith_short_8: MXKO55AP

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/MXKO55APJA5W2XWXRXXQBNRKNP \
  | 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: 65d4eef40f483b6d5ed78def00b62a6be8d179348b160c3860927ad84db24c30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a91aea48fc283ffa1cccc5856f5899741ef60b592ce01f66268137e29239b3b8",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-12-15T20:43:46Z",
    "title_canon_sha256": "912b68a44879c4d92ff0fa75b890bcf2a34e4ff243bfd390271a8be79fc97dca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.08134",
    "kind": "arxiv",
    "version": 2
  }
}