pith. sign in
Pith Number

pith:TZZRH22Y

pith:2016:TZZRH22YTU4H6IOP4ECE7MDLUK
not attested not anchored not stored refs pending

Certified domination

Jerzy Topp, Magda Dettlaff, Magdalena Lema\'nska, Pawe{\l} \.Zyli\'nski, Rados{\l}aw Ziemann

arxiv:1606.03257 v1 · 2016-06-10 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TZZRH22YTU4H6IOP4ECE7MDLUK}

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 2026-05-18T01:12:37.265674Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9e7313eb589d387f21cfe1044fb06ba2ae0e828055c89697d26a65bb37dc8ed2

Aliases

arxiv: 1606.03257 · arxiv_version: 1606.03257v1 · doi: 10.48550/arxiv.1606.03257 · pith_short_12: TZZRH22YTU4H · pith_short_16: TZZRH22YTU4H6IOP · pith_short_8: TZZRH22Y
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TZZRH22YTU4H6IOP4ECE7MDLUK \
  | 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: 9e7313eb589d387f21cfe1044fb06ba2ae0e828055c89697d26a65bb37dc8ed2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8da7f2649212be83bfc9add63356f8964de6427c2cf08424b4d1e50bdc75b1cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-10T10:21:38Z",
    "title_canon_sha256": "99aae7e7b6ec9e3ea3d0554b069e526bc82f6ab930b047904b869c938390fc72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03257",
    "kind": "arxiv",
    "version": 1
  }
}