Pith Number

pith:TT2XJVVZ

pith:2014:TT2XJVVZ227BEARSDROZVGTI43

not attested not anchored not stored refs pending

Sandpile groups of generalized de Bruijn and Kautz graphs and circulant matrices over finite fields

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

arxiv:1405.0113 v1 · 2014-05-01 · 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{TT2XJVVZ227BEARSDROZVGTI43}

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	2026-05-18T02:38:52.976001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cf574d6b9d6be1202321c5d9a9a68e6e64ac7a26c9cac8f66a5b956514a5abc

Aliases

arxiv: 1405.0113 · arxiv_version: 1405.0113v1 · doi: 10.48550/arxiv.1405.0113 · pith_short_12: TT2XJVVZ227B · pith_short_16: TT2XJVVZ227BEARS · pith_short_8: TT2XJVVZ

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/TT2XJVVZ227BEARSDROZVGTI43 \
  | 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: 9cf574d6b9d6be1202321c5d9a9a68e6e64ac7a26c9cac8f66a5b956514a5abc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4100932307cd781a7cdaba0502c9838bbca5352c3103a3023be0a0fe8fa19565",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-01T08:23:05Z",
    "title_canon_sha256": "aba73b32a891248073a9b8789d8cbd783a8cb49ab97994033d93157b62e564e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0113",
    "kind": "arxiv",
    "version": 1
  }
}