pith. sign in
Pith Number

pith:2NN3QOLU

pith:2014:2NN3QOLUVI6P3OLG7NAFRDGJDI
not attested not anchored not stored refs pending

Minors and dimension

Bartosz Walczak

arxiv:1407.4066 v5 · 2014-07-15 · math.CO · cs.DM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2NN3QOLUVI6P3OLG7NAFRDGJDI}

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 2026-05-17T23:58:50.707128Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d35bb83974aa3cfdb966fb40588cc91a37b2cf66f60bf56dfba862d077283a3e

Aliases

arxiv: 1407.4066 · arxiv_version: 1407.4066v5 · doi: 10.48550/arxiv.1407.4066 · pith_short_12: 2NN3QOLUVI6P · pith_short_16: 2NN3QOLUVI6P3OLG · pith_short_8: 2NN3QOLU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2NN3QOLUVI6P3OLG7NAFRDGJDI \
  | 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: d35bb83974aa3cfdb966fb40588cc91a37b2cf66f60bf56dfba862d077283a3e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "35ed95cfe23f026bd2db562e9656dca0c3eafba8b842d8a5269d47a24299b5d3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-15T17:39:28Z",
    "title_canon_sha256": "7cee7339538d5877aad5b9eede1879fe632715938d8b484eec39415d1b2e8322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4066",
    "kind": "arxiv",
    "version": 5
  }
}