Pith Number

pith:OEVZV7SC

pith:2013:OEVZV7SCCZOYX4G4SRIHW6EOCZ

not attested not anchored not stored refs pending

The Complexity of Approximating Vertex Expansion

Anand Louis, Prasad Raghavendra, Santosh Vempala

arxiv:1304.3139 v3 · 2013-04-10 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OEVZV7SCCZOYX4G4SRIHW6EOCZ}

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	2026-05-18T03:07:34.271202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

712b9afe42165d8bf0dc94507b788e1666519fe384ef9133320e53ac362bc79d

Aliases

arxiv: 1304.3139 · arxiv_version: 1304.3139v3 · doi: 10.48550/arxiv.1304.3139 · pith_short_12: OEVZV7SCCZOY · pith_short_16: OEVZV7SCCZOYX4G4 · pith_short_8: OEVZV7SC

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/OEVZV7SCCZOYX4G4SRIHW6EOCZ \
  | 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: 712b9afe42165d8bf0dc94507b788e1666519fe384ef9133320e53ac362bc79d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e33efa0341b4bff7add3a19fd634dd036662a84e7824e291fc12a38a00e24a0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-04-10T20:31:28Z",
    "title_canon_sha256": "9142c28b0e3d0ade6641c03cb68e1eab4afb5fb135e59f01fea825b7ce55f758"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3139",
    "kind": "arxiv",
    "version": 3
  }
}