Pith Number

pith:GUKX3MCW

pith:2015:GUKX3MCW5NCI2W5FZMJFGFWZA4

not attested not anchored not stored refs pending

Approximation Algorithms for Finding Maximum Induced Expanders

Alireza Rezaei, Shayan Oveis Gharan

arxiv:1511.02786 v1 · 2015-11-09 · 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{GUKX3MCW5NCI2W5FZMJFGFWZA4}

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	2026-05-18T01:27:29.338639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35157db056eb448d5ba5cb125316d907040c321178fa3d7cdca3cb8f9cba3aa2

Aliases

arxiv: 1511.02786 · arxiv_version: 1511.02786v1 · doi: 10.48550/arxiv.1511.02786 · pith_short_12: GUKX3MCW5NCI · pith_short_16: GUKX3MCW5NCI2W5F · pith_short_8: GUKX3MCW

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/GUKX3MCW5NCI2W5FZMJFGFWZA4 \
  | 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: 35157db056eb448d5ba5cb125316d907040c321178fa3d7cdca3cb8f9cba3aa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2625c0144d0a0174ede92c2fdd344bfb263477f38231f899335db40257db5929",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-11-09T17:56:29Z",
    "title_canon_sha256": "5e2d379ba7600b9b2453da9603ed4e1108121de33b12f194b24804e332f5bba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02786",
    "kind": "arxiv",
    "version": 1
  }
}