Pith Number

pith:JHOZN22L

pith:2012:JHOZN22LSP4N6VMW2KPYKPXFLP

not attested not anchored not stored refs pending

On domination of Cartesian product of directed cycles

Michel Mollard (IF)

arxiv:1205.5537 v1 · 2012-05-24 · 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{JHOZN22LSP4N6VMW2KPYKPXFLP}

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	2026-05-18T03:55:00.861863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49dd96eb4b93f8df5596d29f853ee55bcbd19f99e41b7835430bce158b2ab48c

Aliases

arxiv: 1205.5537 · arxiv_version: 1205.5537v1 · doi: 10.48550/arxiv.1205.5537 · pith_short_12: JHOZN22LSP4N · pith_short_16: JHOZN22LSP4N6VMW · pith_short_8: JHOZN22L

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/JHOZN22LSP4N6VMW2KPYKPXFLP \
  | 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: 49dd96eb4b93f8df5596d29f853ee55bcbd19f99e41b7835430bce158b2ab48c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78e1189af878b31179ae23f8ad688d3ec98b2293a5b171db8e2d354e3d081105",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-24T19:25:40Z",
    "title_canon_sha256": "39f53afbbd720541bfb71adb300a0421e20b354e2427547f66766e5bb1949f70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5537",
    "kind": "arxiv",
    "version": 1
  }
}