Pith Number

pith:J57TBK4K

pith:2011:J57TBK4KCEV23HUTXJ7XRDDB6M

not attested not anchored not stored refs pending

Min-Max Graph Partitioning and Small Set Expansion

Joseph (Seffi) Naor, Konstantin Makarychev, Nikhil Bansal, Robert Krauthgamer, Roy Schwartz, Uriel Feige, Viswanath Nagarajan

arxiv:1110.4319 v2 · 2011-10-19 · 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{J57TBK4KCEV23HUTXJ7XRDDB6M}

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	2026-05-18T04:10:36.833738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f7f30ab8a112bad9e93ba7f788c61f30d20fcfa14d1a9aec69829bd6fc07e4a

Aliases

arxiv: 1110.4319 · arxiv_version: 1110.4319v2 · doi: 10.48550/arxiv.1110.4319 · pith_short_12: J57TBK4KCEV2 · pith_short_16: J57TBK4KCEV23HUT · pith_short_8: J57TBK4K

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/J57TBK4KCEV23HUTXJ7XRDDB6M \
  | 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: 4f7f30ab8a112bad9e93ba7f788c61f30d20fcfa14d1a9aec69829bd6fc07e4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "353c7c15b5826c75c15710fd7763407d9d8a0fc4e5cefe76cbc231f473b4d037",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-10-19T15:51:38Z",
    "title_canon_sha256": "e2bb47b8912e83dcebb2906323014bf7c905bbad394b85d84333d5e81630373d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4319",
    "kind": "arxiv",
    "version": 2
  }
}