Pith Number

pith:Z5JC22RE

pith:2018:Z5JC22RE4T6IU3EZ2ESNKE2JBR

not attested not anchored not stored refs pending

Toll number of the strong product of graphs

Polona Repolusk, Tanja Gologranc

arxiv:1801.08043 v1 · 2018-01-23 · 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{Z5JC22RE4T6IU3EZ2ESNKE2JBR}

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	2026-05-18T00:25:08.455000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf522d6a24e4fc8a6c99d124d513490c5968b9696540a5beb42da42edeba5b70

Aliases

arxiv: 1801.08043 · arxiv_version: 1801.08043v1 · doi: 10.48550/arxiv.1801.08043 · pith_short_12: Z5JC22RE4T6I · pith_short_16: Z5JC22RE4T6IU3EZ · pith_short_8: Z5JC22RE

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/Z5JC22RE4T6IU3EZ2ESNKE2JBR \
  | 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: cf522d6a24e4fc8a6c99d124d513490c5968b9696540a5beb42da42edeba5b70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72acf1abb0b792033e680b18e6c4fe3b73a4d30c78c1d6a6391a646d1d6a729b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-23T11:22:39Z",
    "title_canon_sha256": "17d56ed82ca56cf99dd040cfd5a2b069a6f68d66a840c5b5e01743e23c7a4309"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08043",
    "kind": "arxiv",
    "version": 1
  }
}