Pith Number

pith:JJ2ESPW5

pith:2018:JJ2ESPW5D2U2CRFCFV6ZX343MI

not attested not anchored not stored refs pending

Lower Bounds for the Exponential Domination Number of $C_m \times C_n$

Chassidy Bozeman, Derek Young, Joshua Carlson, Michael Dairyko, Michael Young

arxiv:1803.01933 v1 · 2018-03-05 · 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{JJ2ESPW5D2U2CRFCFV6ZX343MI}

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	2026-05-18T00:21:56.281181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a74493edd1ea9a144a22d7d9bef9b621e12152f018cbcfd20e3643dfa6f4a66

Aliases

arxiv: 1803.01933 · arxiv_version: 1803.01933v1 · doi: 10.48550/arxiv.1803.01933 · pith_short_12: JJ2ESPW5D2U2 · pith_short_16: JJ2ESPW5D2U2CRFC · pith_short_8: JJ2ESPW5

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/JJ2ESPW5D2U2CRFCFV6ZX343MI \
  | 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: 4a74493edd1ea9a144a22d7d9bef9b621e12152f018cbcfd20e3643dfa6f4a66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74614ec207dc7a86bbf2f7fd5145e33dfa71e280385686d97a48daeffd8e240b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-05T21:24:16Z",
    "title_canon_sha256": "3ef1f99728a8fef76c4779f779da0c5c48992e83c815ba9e5954af414c9e1520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01933",
    "kind": "arxiv",
    "version": 1
  }
}