pith. sign in
Pith Number

pith:5ILJQLAP

pith:2016:5ILJQLAPZ6W7JFJNZKW55I6JYF
not attested not anchored not stored refs pending

Extension Complexity of Independent Set Polytopes

Mika G\"o\"os, Rahul Jain, Thomas Watson

arxiv:1604.07062 v1 · 2016-04-24 · cs.CC · cs.DM · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5ILJQLAPZ6W7JFJNZKW55I6JYF}

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 2026-05-18T01:16:23.155771Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ea16982c0fcfadf4952dcaaddea3c9c1680684e23464ca5b8c490b059198ee3a

Aliases

arxiv: 1604.07062 · arxiv_version: 1604.07062v1 · doi: 10.48550/arxiv.1604.07062 · pith_short_12: 5ILJQLAPZ6W7 · pith_short_16: 5ILJQLAPZ6W7JFJN · pith_short_8: 5ILJQLAP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5ILJQLAPZ6W7JFJNZKW55I6JYF \
  | 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: ea16982c0fcfadf4952dcaaddea3c9c1680684e23464ca5b8c490b059198ee3a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6820fceae34f33ec7413ca957524be9c7ab1c68d04783a54d0d1e7285e3d80bf",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-04-24T17:52:28Z",
    "title_canon_sha256": "fb1d78477dc84a27c016971c2072626a228ad486a96706e4d01b2bb194153b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07062",
    "kind": "arxiv",
    "version": 1
  }
}