Pith Number

pith:JCNMMOO3

pith:2018:JCNMMOO3T4TRIE6JAQ2TGZWGCG

not attested not anchored not stored refs pending

Kr\"auter conjecture on permanents is true

Alexander E. Guterman, Mikhail V. Budrevich

arxiv:1810.04439 v1 · 2018-10-10 · 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{JCNMMOO3T4TRIE6JAQ2TGZWGCG}

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	2026-05-18T00:03:40.106225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

489ac639db9f271413c904353366c611a8fe8cf652fdf050143cd524f7963cfb

Aliases

arxiv: 1810.04439 · arxiv_version: 1810.04439v1 · doi: 10.48550/arxiv.1810.04439 · pith_short_12: JCNMMOO3T4TR · pith_short_16: JCNMMOO3T4TRIE6J · pith_short_8: JCNMMOO3

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/JCNMMOO3T4TRIE6JAQ2TGZWGCG \
  | 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: 489ac639db9f271413c904353366c611a8fe8cf652fdf050143cd524f7963cfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f53d28014dd101a0ea8f6c371a0ecbb50515800d20cae183c206c19bf2e08095",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-10T09:54:35Z",
    "title_canon_sha256": "95d78671211afb51e8b0acc9c2906f70c7165c3c66164ff68123821e438890ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04439",
    "kind": "arxiv",
    "version": 1
  }
}