Pith Number

pith:PJSM6XFR

pith:2014:PJSM6XFRQHBIUEQFMSEAUTJA57

not attested not anchored not stored refs pending

Approximation Algorithms for Hypergraph Small Set Expansion and Small Set Vertex Expansion

Anand Louis, Yury Makarychev

arxiv:1404.4575 v1 · 2014-04-17 · 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{PJSM6XFRQHBIUEQFMSEAUTJA57}

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	2026-05-18T02:54:03.966380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a64cf5cb181c28a120564880a4d20effd40699be50714e3c164bdc6f0f86206

Aliases

arxiv: 1404.4575 · arxiv_version: 1404.4575v1 · doi: 10.48550/arxiv.1404.4575 · pith_short_12: PJSM6XFRQHBI · pith_short_16: PJSM6XFRQHBIUEQF · pith_short_8: PJSM6XFR

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/PJSM6XFRQHBIUEQFMSEAUTJA57 \
  | 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: 7a64cf5cb181c28a120564880a4d20effd40699be50714e3c164bdc6f0f86206

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5be5c5b2a3eb78b3d7f72b7bb3de9577deca802c25c5571b2848e34f44a1bd78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2014-04-17T16:32:27Z",
    "title_canon_sha256": "1b42af4a9e5797d9f2ea6d5a48b608eec1c8d1194a1dbc595612bc66625f3b45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4575",
    "kind": "arxiv",
    "version": 1
  }
}