Pith Number

pith:65PVY4AB

pith:2011:65PVY4AB2W3CF3I2Y3KDOIVZR2

not attested not anchored not stored refs pending

Some 0/1 polytopes need exponential size extended formulations

Thomas Rothvo{\ss}

arxiv:1105.0036 v1 · 2011-04-30 · math.CO · cs.CC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{65PVY4AB2W3CF3I2Y3KDOIVZR2}

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	2026-05-18T04:23:12.628884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f75f5c7001d5b622ed1ac6d43722b98ebcf520eb5b5ced11357913ae13791816

Aliases

arxiv: 1105.0036 · arxiv_version: 1105.0036v1 · doi: 10.48550/arxiv.1105.0036 · pith_short_12: 65PVY4AB2W3C · pith_short_16: 65PVY4AB2W3CF3I2 · pith_short_8: 65PVY4AB

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/65PVY4AB2W3CF3I2Y3KDOIVZR2 \
  | 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: f75f5c7001d5b622ed1ac6d43722b98ebcf520eb5b5ced11357913ae13791816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "005ce46f688b20675946b531fff1427887f1539ee51466dcf5d03f75f66e396e",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-30T00:41:13Z",
    "title_canon_sha256": "ef8417678fe9925337a45b1969a5f5bafd29f75c8b869824f03817523717a324"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0036",
    "kind": "arxiv",
    "version": 1
  }
}