Pith Number

pith:XSTJTAX7

pith:2020:XSTJTAX7LGWKNAHTXDBWHYWDBL

not attested not anchored not stored refs pending

New Hardness Results for Planar Graph Problems in P and an Algorithm for Sparsest Cut

Amir Abboud, Philip N. Klein, Vincent Cohen-Addad

arxiv:2007.02377 v1 · 2020-07-05 · 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{XSTJTAX7LGWKNAHTXDBWHYWDBL}

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	2026-07-05T01:16:21.753365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bca69982ff59aca680f3b8c363e2c30ad940d6868ca9c177c5f3bcefcd069f6f

Aliases

arxiv: 2007.02377 · arxiv_version: 2007.02377v1 · doi: 10.48550/arxiv.2007.02377 · pith_short_12: XSTJTAX7LGWK · pith_short_16: XSTJTAX7LGWKNAHT · pith_short_8: XSTJTAX7

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/XSTJTAX7LGWKNAHTXDBWHYWDBL \
  | 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: bca69982ff59aca680f3b8c363e2c30ad940d6868ca9c177c5f3bcefcd069f6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bef1755ec1b7a4461b5228d9ceac507ac5fdb020be14a7a623bce263d55acbcf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2020-07-05T16:26:27Z",
    "title_canon_sha256": "536074a3e07d04b3a60cc91ce4efdc72b529cce26cd837b74ac912d523f92400"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.02377",
    "kind": "arxiv",
    "version": 1
  }
}