Pith Number

pith:L6MW5HKP

pith:2015:L6MW5HKP2ECEDD47IDO2K7MDOA

not attested not anchored not stored refs pending

Sparsification Upper and Lower Bounds for Graph Problems and Not-All-Equal SAT

Astrid Pieterse, Bart M.P. Jansen

arxiv:1509.07437 v1 · 2015-09-24 · cs.CC · 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{L6MW5HKP2ECEDD47IDO2K7MDOA}

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	2026-05-18T01:32:08.964716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f996e9d4fd104418f9f40dda57d8370122c2e2c60993e6da270c2d741ed23df

Aliases

arxiv: 1509.07437 · arxiv_version: 1509.07437v1 · doi: 10.48550/arxiv.1509.07437 · pith_short_12: L6MW5HKP2ECE · pith_short_16: L6MW5HKP2ECEDD47 · pith_short_8: L6MW5HKP

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/L6MW5HKP2ECEDD47IDO2K7MDOA \
  | 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: 5f996e9d4fd104418f9f40dda57d8370122c2e2c60993e6da270c2d741ed23df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44052be5071072c02aaf494a9b3869412f7eca7a8b2b1f0f7c073931bd0e8f56",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-09-24T17:02:31Z",
    "title_canon_sha256": "5b49b58ea8a6584c9b6d8fb72719311efa62fbb46acdd6206da41711b49aed5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07437",
    "kind": "arxiv",
    "version": 1
  }
}