Pith Number

pith:NKWFJYYK

pith:2018:NKWFJYYKAKK6IGGBDHU7Y73XYU

not attested not anchored not stored refs pending

An SDP Primal-Dual Approximation Algorithm for Directed Hypergraph Expansion and Sparsest Cut with Product Demands

Bintao Sun, T-H. Hubert Chan

arxiv:1805.02042 v1 · 2018-05-05 · 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{NKWFJYYKAKK6IGGBDHU7Y73XYU}

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	2026-05-18T00:16:41.148406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aac54e30a0295e418c119e9fc7f77c5234abdbf9f90ba8903d31d025d0b43b0

Aliases

arxiv: 1805.02042 · arxiv_version: 1805.02042v1 · doi: 10.48550/arxiv.1805.02042 · pith_short_12: NKWFJYYKAKK6 · pith_short_16: NKWFJYYKAKK6IGGB · pith_short_8: NKWFJYYK

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/NKWFJYYKAKK6IGGBDHU7Y73XYU \
  | 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: 6aac54e30a0295e418c119e9fc7f77c5234abdbf9f90ba8903d31d025d0b43b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91f8ab20f2bc8a7114f5ef04a27490805f08a61c6b104553891b81546db2c759",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-05-05T11:13:57Z",
    "title_canon_sha256": "b5ffb032c43cd58a32544d1d1fea725a62ccfe6a28d8ace08c2a4c4c69a485a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02042",
    "kind": "arxiv",
    "version": 1
  }
}