Pith Number

pith:2EJXQNJ2

pith:2016:2EJXQNJ2QEMOQYYFFH3YGDPARS

not attested not anchored not stored refs pending

Kronecker Product Graphs and Counting Walks in Restricted Lattices

Hun Hee Lee, Nobuaki Obata

arxiv:1607.06808 v1 · 2016-07-22 · math.CO · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2EJXQNJ2QEMOQYYFFH3YGDPARS}

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	2026-05-18T01:10:35.680254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d11378353a8118e8630529f7830de08c925129d79d55844e8d5ea2cbdee8dbb7

Aliases

arxiv: 1607.06808 · arxiv_version: 1607.06808v1 · doi: 10.48550/arxiv.1607.06808 · pith_short_12: 2EJXQNJ2QEMO · pith_short_16: 2EJXQNJ2QEMOQYYF · pith_short_8: 2EJXQNJ2

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/2EJXQNJ2QEMOQYYFFH3YGDPARS \
  | 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: d11378353a8118e8630529f7830de08c925129d79d55844e8d5ea2cbdee8dbb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be33bbd45d47f575fe57b7db7f2777083a366a79e638b0512981fc4933aef352",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-22T18:51:19Z",
    "title_canon_sha256": "688c8ca94e12a07de70b8ce3ca09e7334551b2b6f6f0df671852007e72b73cff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06808",
    "kind": "arxiv",
    "version": 1
  }
}