Pith Number

pith:UMAVNRWL

pith:2014:UMAVNRWLPX5E3SE4JRBB43KQCR

not attested not anchored not stored refs pending

Perfect codes in Doob graphs

Denis Krotov (Sobolev Institute of Mathematics, Novosibirsk, Russia)

arxiv:1407.6329 v1 · 2014-07-23 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMAVNRWLPX5E3SE4JRBB43KQCR}

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	2026-05-18T01:12:59.821202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a30156c6cb7dfa4dc89c4c421e6d501443d89380f619adf2ef9aee2c0d07a30a

Aliases

arxiv: 1407.6329 · arxiv_version: 1407.6329v1 · doi: 10.48550/arxiv.1407.6329 · pith_short_12: UMAVNRWLPX5E · pith_short_16: UMAVNRWLPX5E3SE4 · pith_short_8: UMAVNRWL

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/UMAVNRWLPX5E3SE4JRBB43KQCR \
  | 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: a30156c6cb7dfa4dc89c4c421e6d501443d89380f619adf2ef9aee2c0d07a30a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4d1db1a53075160464254cdde5f594fc1e6332ac478ac9504675b404d9a40ce",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-23T18:41:52Z",
    "title_canon_sha256": "e66138c158f2248912843a72c7b0d56e5517ce55b72d3456d5dea3dde8482728"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6329",
    "kind": "arxiv",
    "version": 1
  }
}