Pith Number

pith:23H6URJU

pith:2011:23H6URJUMBQMCLOK7IC5TJI57F

not attested not anchored not stored refs pending

On $d$-divisible graceful $\alpha$-labelings of $C_{4k}\times P_m$

Anita Pasotti

arxiv:1107.1335 v1 · 2011-07-07 · 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{23H6URJUMBQMCLOK7IC5TJI57F}

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	2026-05-18T04:18:44.168774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6cfea45346060c12dcafa05d9a51df9475d0becfbec8ed2a23aad581fa328c0

Aliases

arxiv: 1107.1335 · arxiv_version: 1107.1335v1 · doi: 10.48550/arxiv.1107.1335 · pith_short_12: 23H6URJUMBQM · pith_short_16: 23H6URJUMBQMCLOK · pith_short_8: 23H6URJU

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/23H6URJUMBQMCLOK7IC5TJI57F \
  | 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: d6cfea45346060c12dcafa05d9a51df9475d0becfbec8ed2a23aad581fa328c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2a9e0cdafac0a46a03ac8b0b067fb0d2163d92794aa0548ddfe6e06bcdc1fa7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-07T10:09:50Z",
    "title_canon_sha256": "6b77632a3fca2a31096cb1c512d6772e66f5730b64228912bc305e988e059bb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1335",
    "kind": "arxiv",
    "version": 1
  }
}