Pith Number

pith:GRX6S5NS

pith:2015:GRX6S5NS5JFZ4E5OWJHWS5BFBN

not attested not anchored not stored refs pending

Lower Bounds on the Distance Domination Number of a Graph

Caleb Fast, Franklin Kenter, Michael Henning, Randy Davila

arxiv:1507.08745 v1 · 2015-07-31 · 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{GRX6S5NS5JFZ4E5OWJHWS5BFBN}

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	2026-05-18T01:36:02.968409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

346fe975b2ea4b9e13aeb24f6974250b748cca88afb0c07b748c5685ac700461

Aliases

arxiv: 1507.08745 · arxiv_version: 1507.08745v1 · doi: 10.48550/arxiv.1507.08745 · pith_short_12: GRX6S5NS5JFZ · pith_short_16: GRX6S5NS5JFZ4E5O · pith_short_8: GRX6S5NS

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/GRX6S5NS5JFZ4E5OWJHWS5BFBN \
  | 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: 346fe975b2ea4b9e13aeb24f6974250b748cca88afb0c07b748c5685ac700461

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7439e33b1fbbb079873c50a669914664b2c97275799ef0773b34e79ff32277f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-31T04:00:51Z",
    "title_canon_sha256": "3f1d078c44cc0f67b439fb33705bbb975ae784e6dafa8a4d1f32a36db02d26b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08745",
    "kind": "arxiv",
    "version": 1
  }
}