Pith Number

pith:OMSQYXJU

pith:2013:OMSQYXJUQXPYFY5IGGG5V22DID

not attested not anchored not stored refs pending

Lower Bounds on the Sizes of Integer Programs Without Additional Variables

Stefan Weltge, Volker Kaibel

arxiv:1311.3255 v2 · 2013-11-13 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OMSQYXJUQXPYFY5IGGG5V22DID}

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	2026-05-18T02:31:36.109237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73250c5d3485df82e3a8318ddaeb4340c1d27593f395ecba71a73d869b347463

Aliases

arxiv: 1311.3255 · arxiv_version: 1311.3255v2 · doi: 10.48550/arxiv.1311.3255 · pith_short_12: OMSQYXJUQXPY · pith_short_16: OMSQYXJUQXPYFY5I · pith_short_8: OMSQYXJU

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/OMSQYXJUQXPYFY5IGGG5V22DID \
  | 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: 73250c5d3485df82e3a8318ddaeb4340c1d27593f395ecba71a73d869b347463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e1059f4fa1459eaa976a6f961d7c77c86e0cc0e9b7acb31611290de34777fd9",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-13T19:11:11Z",
    "title_canon_sha256": "4908eae69e76d22acd128f6816c37cb76cbf7104094a5793da4bd2b510678afc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3255",
    "kind": "arxiv",
    "version": 2
  }
}