Pith Number

pith:4MF22OKD

pith:2012:4MF22OKD5QE6HTDLWZCJXUI7OO

not attested not anchored not stored refs pending

Some advances on the set covering polyhedron of circulant matrices

Graciela Nasini, Paola Tolomei, Silvia Bianchi

arxiv:1205.6142 v1 · 2012-05-28 · 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{4MF22OKD5QE6HTDLWZCJXUI7OO}

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	2026-05-18T03:54:48.213019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e30bad3943ec09e3cc6bb6449bd11f73b7253ab3bd2575ae9d977adbd18d4ce6

Aliases

arxiv: 1205.6142 · arxiv_version: 1205.6142v1 · doi: 10.48550/arxiv.1205.6142 · pith_short_12: 4MF22OKD5QE6 · pith_short_16: 4MF22OKD5QE6HTDL · pith_short_8: 4MF22OKD

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/4MF22OKD5QE6HTDLWZCJXUI7OO \
  | 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: e30bad3943ec09e3cc6bb6449bd11f73b7253ab3bd2575ae9d977adbd18d4ce6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e621e15c066a003f78c4b057210da062d2b5738aa7c2375fb8c5ec7c95e3ff1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-28T15:35:05Z",
    "title_canon_sha256": "618a094cea477a57ecc99b020a00a052dbb5f021b1072adf259cb7bdced6df00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6142",
    "kind": "arxiv",
    "version": 1
  }
}