Pith Number

pith:HVXVKE7S

pith:2023:HVXVKE7SAAQ2XAUUI3FGQ5E5EY

not attested not anchored not stored refs pending

Simple Constructions of Unique Neighbor Expanders from Error-correcting Codes

Noga Ron-Zewi, Shubhangi Saraf, Swastik Kopparty

arxiv:2310.19149 v2 · 2023-10-29 · cs.CC · 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{HVXVKE7SAAQ2XAUUI3FGQ5E5EY}

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

Explicit Lossless Vertex Expanders

Receipt and verification

First computed	2026-07-05T07:37:52.860986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d6f5513f20021ab829446ca68749d2639457f97e8bf216dae83f2979374b355

Aliases

arxiv: 2310.19149 · arxiv_version: 2310.19149v2 · doi: 10.48550/arxiv.2310.19149 · pith_short_12: HVXVKE7SAAQ2 · pith_short_16: HVXVKE7SAAQ2XAUU · pith_short_8: HVXVKE7S

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/HVXVKE7SAAQ2XAUUI3FGQ5E5EY \
  | 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: 3d6f5513f20021ab829446ca68749d2639457f97e8bf216dae83f2979374b355

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67679ed5738655815800308ff5a2fc5cbb06ecf49d84f072d3c42ed660806d5c",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2023-10-29T20:53:45Z",
    "title_canon_sha256": "e4c6a66055ad87f0fad5f94446e7f66b22df922dcd3e0b7b63d0a64c53e9a7bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.19149",
    "kind": "arxiv",
    "version": 2
  }
}