Pith Number

pith:QXJQFSQ3

pith:2016:QXJQFSQ3YSMTCXB7M4UOJSBM5K

not attested not anchored not stored refs pending

On Covering Codes and Upper Bounds for the Dimension of Simple Games

Martin Olsen

arxiv:1609.04960 v1 · 2016-09-16 · cs.GT · cs.MA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXJQFSQ3YSMTCXB7M4UOJSBM5K}

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	2026-05-18T01:04:31.960684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d302ca1bc499315c3f6728e4c82cea930071307d545fa3b69c4c19241d19ee

Aliases

arxiv: 1609.04960 · arxiv_version: 1609.04960v1 · doi: 10.48550/arxiv.1609.04960 · pith_short_12: QXJQFSQ3YSMT · pith_short_16: QXJQFSQ3YSMTCXB7 · pith_short_8: QXJQFSQ3

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/QXJQFSQ3YSMTCXB7M4UOJSBM5K \
  | 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: 85d302ca1bc499315c3f6728e4c82cea930071307d545fa3b69c4c19241d19ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a23e0c33e141024fdfe55a43d55b519dacae9896f11680e3a4c946b5e2ee8e1",
    "cross_cats_sorted": [
      "cs.MA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-09-16T09:21:33Z",
    "title_canon_sha256": "e9081349f226a833c1b21a9a06508e86e228e769be2e67c58691ee25c8fbc433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04960",
    "kind": "arxiv",
    "version": 1
  }
}