Pith Number

pith:ROARYSK6

pith:2011:ROARYSK6WGJD7GTYKIS4CCOT5F

not attested not anchored not stored refs pending

Exponential Lower Bounds for Polytopes in Combinatorial Optimization

Hans Raj Tiwary, Ronald de Wolf, Samuel Fiorini, Sebastian Pokutta, Serge Massar

arxiv:1111.0837 v5 · 2011-11-03 · math.CO · cs.CC · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ROARYSK6WGJD7GTYKIS4CCOT5F}

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	2026-05-18T02:23:59.084908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b811c495eb1923f9a785225c109d3e96fcf443ac4f41f321c466299a4a2ac95

Aliases

arxiv: 1111.0837 · arxiv_version: 1111.0837v5 · doi: 10.48550/arxiv.1111.0837 · pith_short_12: ROARYSK6WGJD · pith_short_16: ROARYSK6WGJD7GTY · pith_short_8: ROARYSK6

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/ROARYSK6WGJD7GTYKIS4CCOT5F \
  | 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: 8b811c495eb1923f9a785225c109d3e96fcf443ac4f41f321c466299a4a2ac95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a77498e29a0272a5aa52a1556a4b2b4131bafd6ae847ef3a1cdc701e32619c34",
    "cross_cats_sorted": [
      "cs.CC",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-03T13:47:22Z",
    "title_canon_sha256": "b6e74e762e590245b272c4bafea72fec482df39ebb914fc20bf0de2f9e5b8598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0837",
    "kind": "arxiv",
    "version": 5
  }
}