Pith Number

pith:LJS4WD3T

pith:2016:LJS4WD3TTQTBDARG46AXYZHSBQ

not attested not anchored not stored refs pending

The number of dominating $k$-sets of paths, cycles and wheels

Bernardo Llano, Jorge L. Arocha

arxiv:1601.01268 v1 · 2016-01-06 · 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{LJS4WD3TTQTBDARG46AXYZHSBQ}

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	2026-05-18T01:23:17.351360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a65cb0f739c26118226e7817c64f20c0a8450371b32ddb68a45acbecf52ca5c

Aliases

arxiv: 1601.01268 · arxiv_version: 1601.01268v1 · doi: 10.48550/arxiv.1601.01268 · pith_short_12: LJS4WD3TTQTB · pith_short_16: LJS4WD3TTQTBDARG · pith_short_8: LJS4WD3T

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/LJS4WD3TTQTBDARG46AXYZHSBQ \
  | 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: 5a65cb0f739c26118226e7817c64f20c0a8450371b32ddb68a45acbecf52ca5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14940cef8a897cd7e0e02f6998e53388c71956703fafbb84d2dd130854e2dd51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-06T18:35:11Z",
    "title_canon_sha256": "f9bce7853db04b805c2c1360d7c0e4f95e84f685a87f2dedf6d56a44291162a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01268",
    "kind": "arxiv",
    "version": 1
  }
}