Pith Number

pith:FOETIBJE

pith:2017:FOETIBJEY25EMGFAMW7XAFZ6HL

not attested not anchored not stored refs pending

Extension complexity of stable set polytopes of bipartite graphs

Manuel Aprile, Marco Macchia, Samuel Fiorini, Tony Huynh, Yuri Faenza

arxiv:1702.08741 v2 · 2017-02-28 · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOETIBJEY25EMGFAMW7XAFZ6HL}

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	2026-05-18T00:43:08.605287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b89340524c6ba4618a065bf70173e3ae9b330d544690aca63c1e130feeb66b3

Aliases

arxiv: 1702.08741 · arxiv_version: 1702.08741v2 · doi: 10.48550/arxiv.1702.08741 · pith_short_12: FOETIBJEY25E · pith_short_16: FOETIBJEY25EMGFA · pith_short_8: FOETIBJE

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/FOETIBJEY25EMGFAMW7XAFZ6HL \
  | 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: 2b89340524c6ba4618a065bf70173e3ae9b330d544690aca63c1e130feeb66b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99cc11146f72a76e91459aaba89624e10608bec35835bd208c03a7ff3c4ea03a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-02-28T11:03:47Z",
    "title_canon_sha256": "bf1ce3ca8b119a9adb1b1dea7f1a2363d23e66ee146d7d5496ccf473fa5e9ec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08741",
    "kind": "arxiv",
    "version": 2
  }
}