Pith Number

pith:URU3UUNZ

pith:2011:URU3UUNZXCOORTZW7K2XRFK55A

not attested not anchored not stored refs pending

A Reformulation of the Arora-Rao-Vazirani Structure Theorem

James Lee, Sanjeev Arora, Sushant Sachdeva

arxiv:1102.1456 v1 · 2011-02-07 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{URU3UUNZXCOORTZW7K2XRFK55A}

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	2026-05-18T04:29:53.195120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a469ba51b9b89ce8cf36fab578955de81c3782d10d2d5d63ecb84f37bdbfcdad

Aliases

arxiv: 1102.1456 · arxiv_version: 1102.1456v1 · doi: 10.48550/arxiv.1102.1456 · pith_short_12: URU3UUNZXCOO · pith_short_16: URU3UUNZXCOORTZW · pith_short_8: URU3UUNZ

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/URU3UUNZXCOORTZW7K2XRFK55A \
  | 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: a469ba51b9b89ce8cf36fab578955de81c3782d10d2d5d63ecb84f37bdbfcdad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d7443ec629b8145b257f8bb95a21aab7ed5916c6e0ca6f604280117b1ecf27e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-02-07T22:24:54Z",
    "title_canon_sha256": "7e4ed3d657b4fe881179a213c6b2bb50b9e911338d37ca8ee47d4485942ffa53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1456",
    "kind": "arxiv",
    "version": 1
  }
}