Pith Number

pith:KMDVQG72

pith:2017:KMDVQG72OSYP64S3EVR2OARFT2

not attested not anchored not stored refs pending

New lower bounds for $t$-coverings

Daniel Horsley, Rakhi Singh

arxiv:1706.06825 v2 · 2017-06-21 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KMDVQG72OSYP64S3EVR2OARFT2}

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	2026-05-18T00:33:43.453734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5307581bfa74b0ff725b2563a702259e82d12f8bef1434418c5214604e924f93

Aliases

arxiv: 1706.06825 · arxiv_version: 1706.06825v2 · doi: 10.48550/arxiv.1706.06825 · pith_short_12: KMDVQG72OSYP · pith_short_16: KMDVQG72OSYP64S3 · pith_short_8: KMDVQG72

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/KMDVQG72OSYP64S3EVR2OARFT2 \
  | 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: 5307581bfa74b0ff725b2563a702259e82d12f8bef1434418c5214604e924f93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14da1eee3fb4a3b7452908604596392f60e8c9c665251d2dec6767025b7db02a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-21T11:08:26Z",
    "title_canon_sha256": "76ae70b77b2942048cc9a2256b752adbc09b6c3e99b7ca5b000cda22fdd023a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06825",
    "kind": "arxiv",
    "version": 2
  }
}