Pith Number

pith:BCMO2WR4

pith:2013:BCMO2WR4XR7VP2LCZ4XLKWVW5R

not attested not anchored not stored refs pending

Critical groups of generalized de Bruijn and Kautz graphs and circulant matrices over finite fields: an extended abstract

Dmitrii V. Pasechnik, Henk D. L. Hollmann, Swee Hong Chan

arxiv:1312.2114 v1 · 2013-12-07 · math.CO · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCMO2WR4XR7VP2LCZ4XLKWVW5R}

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	2026-05-18T03:05:17.239928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0898ed5a3cbc7f57e962cf2eb55ab6ec55ec3a0733c45dba70a57c8caabffda7

Aliases

arxiv: 1312.2114 · arxiv_version: 1312.2114v1 · doi: 10.48550/arxiv.1312.2114 · pith_short_12: BCMO2WR4XR7V · pith_short_16: BCMO2WR4XR7VP2LC · pith_short_8: BCMO2WR4

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/BCMO2WR4XR7VP2LCZ4XLKWVW5R \
  | 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: 0898ed5a3cbc7f57e962cf2eb55ab6ec55ec3a0733c45dba70a57c8caabffda7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac6425a9698596712505874469a3e8667abb82fed68c9dc438fa3cc4cdd95b7f",
    "cross_cats_sorted": [
      "math.GR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-07T16:58:50Z",
    "title_canon_sha256": "b1e32bcff008a1ccf9b50fd96db79b41938060863929a9429d4639197b439bc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2114",
    "kind": "arxiv",
    "version": 1
  }
}