Pith Number

pith:R4ATUCFN

pith:2021:R4ATUCFN7Z7XXHGBOFQBOYU5XA

not attested not anchored not stored refs pending

Deterministic Weighted Expander Decomposition in Almost-linear Time

Jason Li, Thatchaphol Saranurak

arxiv:2106.01567 v1 · 2021-06-03 · 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{R4ATUCFN7Z7XXHGBOFQBOYU5XA}

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

Breaking the $n^{1.5}$ Additive Error Barrier for Private and Efficient Graph Sparsification via Private Expander Decomposition

Receipt and verification

First computed	2026-07-05T02:45:53.011917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f013a08adfe7f7b9cc1716017629db810d6e0b9a2fa64669c3c5fbc62006486

Aliases

arxiv: 2106.01567 · arxiv_version: 2106.01567v1 · doi: 10.48550/arxiv.2106.01567 · pith_short_12: R4ATUCFN7Z7X · pith_short_16: R4ATUCFN7Z7XXHGB · pith_short_8: R4ATUCFN

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/R4ATUCFN7Z7XXHGBOFQBOYU5XA \
  | 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: 8f013a08adfe7f7b9cc1716017629db810d6e0b9a2fa64669c3c5fbc62006486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d16f749aa5a1ff7895161d25dddd09b0f6d10c3419341da0d14736bcd63490e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2021-06-03T03:24:36Z",
    "title_canon_sha256": "61459c3006ec2fdd7115c1596cb6b9975376b8a279a4e148934c94cace46c76f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.01567",
    "kind": "arxiv",
    "version": 1
  }
}