Pith Number

pith:JNMABT7Q

pith:2012:JNMABT7Q443ZKZXGGFXIQGAWHT

not attested not anchored not stored refs pending

On the independent subsets of powers of paths and cycles

Ottavio M. D'Antona, Pietro Codara

arxiv:1210.5561 v1 · 2012-10-19 · cs.DM · 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{JNMABT7Q443ZKZXGGFXIQGAWHT}

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	2026-05-18T03:42:43.638049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b5800cff0e7379566e6316e8818163cce9c17cdc12784f7752e8c2e720049d7

Aliases

arxiv: 1210.5561 · arxiv_version: 1210.5561v1 · doi: 10.48550/arxiv.1210.5561 · pith_short_12: JNMABT7Q443Z · pith_short_16: JNMABT7Q443ZKZXG · pith_short_8: JNMABT7Q

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/JNMABT7Q443ZKZXGGFXIQGAWHT \
  | 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: 4b5800cff0e7379566e6316e8818163cce9c17cdc12784f7752e8c2e720049d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21bff420b66e3ff9877376c46a7a1d0d23d4d36893cbc4f24993a8e07dcfc9cc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-10-19T23:12:59Z",
    "title_canon_sha256": "24590b615549d8b64159332d4a1597bd997020c2f5647b1fc8d89078e5f1950e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5561",
    "kind": "arxiv",
    "version": 1
  }
}