Pith Number

pith:GCKP2FYM

pith:2019:GCKP2FYMAB5RV3CFKIYH5QYXZK

not attested not anchored not stored refs pending

A Lower Bound and Several Exact Results on the $d$-Lucky Number

D. Ahima Emilet, Indra Rajasingh, Sandi Klav\v{z}ar

arxiv:1903.07863 v1 · 2019-03-19 · 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{GCKP2FYMAB5RV3CFKIYH5QYXZK}

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	2026-05-17T23:50:53.658049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3094fd170c007b1aec4552307ec317ca83de43a061bcdcde73d96b8326306ba7

Aliases

arxiv: 1903.07863 · arxiv_version: 1903.07863v1 · doi: 10.48550/arxiv.1903.07863 · pith_short_12: GCKP2FYMAB5R · pith_short_16: GCKP2FYMAB5RV3CF · pith_short_8: GCKP2FYM

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/GCKP2FYMAB5RV3CFKIYH5QYXZK \
  | 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: 3094fd170c007b1aec4552307ec317ca83de43a061bcdcde73d96b8326306ba7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f71ad583e0b2c96919503b60ddf3af77ab54e8dcd09b0448ee33857678189620",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-19T07:15:23Z",
    "title_canon_sha256": "22d8db946164e30505b32c28bba841d479035b5c842ec7a00e30eed1eb688d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07863",
    "kind": "arxiv",
    "version": 1
  }
}