Pith Number

pith:3RR3B6YW

pith:2019:3RR3B6YWDX6YVHLCDN54PS63ER

not attested not anchored not stored refs pending

The thickness of the Kronecker product of graphs

Xia Guo, Yan Yang

arxiv:1901.08052 v1 · 2019-01-23 · math.CO

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

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	2026-05-17T23:55:37.992062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc63b0fb161dfd8a9d621b7bc7cbdb245eba696993fe590d1e88be5ba8a05a36

Aliases

arxiv: 1901.08052 · arxiv_version: 1901.08052v1 · doi: 10.48550/arxiv.1901.08052 · pith_short_12: 3RR3B6YWDX6Y · pith_short_16: 3RR3B6YWDX6YVHLC · pith_short_8: 3RR3B6YW

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/3RR3B6YWDX6YVHLCDN54PS63ER \
  | 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: dc63b0fb161dfd8a9d621b7bc7cbdb245eba696993fe590d1e88be5ba8a05a36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68325b72e192a04fa9e60b8618ea85bbb921244915cfe4709c941aded8222976",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-23T02:00:30Z",
    "title_canon_sha256": "ec64493b1c61a3ab5db3d5359a8ca500870ce396c9d5d0421d411a1090c197ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08052",
    "kind": "arxiv",
    "version": 1
  }
}