Pith Number

pith:SQWR6BHF

pith:2016:SQWR6BHFSX6W6OGSVD6EVZWOIY

not attested not anchored not stored refs pending

Toll number of the Cartesian and the lexicographic product of graphs

Polona Repolusk, Tanja Gologranc

arxiv:1608.07390 v1 · 2016-08-26 · 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{SQWR6BHFSX6W6OGSVD6EVZWOIY}

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	2026-05-18T01:07:53.184346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

942d1f04e595fd6f38d2a8fc4ae6ce461119290464813b734e7ae4e6c0199a4e

Aliases

arxiv: 1608.07390 · arxiv_version: 1608.07390v1 · doi: 10.48550/arxiv.1608.07390 · pith_short_12: SQWR6BHFSX6W · pith_short_16: SQWR6BHFSX6W6OGS · pith_short_8: SQWR6BHF

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/SQWR6BHFSX6W6OGSVD6EVZWOIY \
  | 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: 942d1f04e595fd6f38d2a8fc4ae6ce461119290464813b734e7ae4e6c0199a4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21c32ed6787e343aa0d83ed1c50afcc3912a6446515d9680145e6866d41bccf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-26T08:37:15Z",
    "title_canon_sha256": "5d611a5f1510c37e39772e49ccfbfc4d5f5ee7ce3981bac5a180f171162d91bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07390",
    "kind": "arxiv",
    "version": 1
  }
}