Pith Number

pith:6EPS6H3L

pith:2018:6EPS6H3LN6G7C7W776XQMADV6I

not attested not anchored not stored refs pending

A Matrix Chernoff Bound for Strongly Rayleigh Distributions and Spectral Sparsifiers from a few Random Spanning Trees

Rasmus Kyng, Zhao Song

arxiv:1810.08345 v1 · 2018-10-19 · math.PR · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6EPS6H3LN6G7C7W776XQMADV6I}

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	2026-05-18T00:02:48.398043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f11f2f1f6b6f8df17edfffaf060075f22b7e4b2bb3501b99d5febd25e4676bd7

Aliases

arxiv: 1810.08345 · arxiv_version: 1810.08345v1 · doi: 10.48550/arxiv.1810.08345 · pith_short_12: 6EPS6H3LN6G7 · pith_short_16: 6EPS6H3LN6G7C7W7 · pith_short_8: 6EPS6H3L

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/6EPS6H3LN6G7C7W776XQMADV6I \
  | 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: f11f2f1f6b6f8df17edfffaf060075f22b7e4b2bb3501b99d5febd25e4676bd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68ed822589527b8836a1fe9aefb1c2f05eda20570fe1f9159ad600e1c38fc166",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-19T03:27:28Z",
    "title_canon_sha256": "3f6053bf76f6a43accf5c98ec7050b91f886eabb1f2e67731bcb309397a4b3c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08345",
    "kind": "arxiv",
    "version": 1
  }
}