Pith Number

pith:JQ22DB2B

pith:2012:JQ22DB2B22P2OMMZKPPRFSFDJ7

not attested not anchored not stored refs pending

Compositions of n Satisfying Some Coprimality Conditions

Daniela Bubboloni, Florian Luca, Pablo Spiga

arxiv:1202.1670 v1 · 2012-02-08 · math.NT · 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{JQ22DB2B22P2OMMZKPPRFSFDJ7}

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	2026-05-18T04:02:51.560535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c35a18741d69fa7319953df12c8a34ff0843d22d68ce78abede00dee153f807

Aliases

arxiv: 1202.1670 · arxiv_version: 1202.1670v1 · doi: 10.48550/arxiv.1202.1670 · pith_short_12: JQ22DB2B22P2 · pith_short_16: JQ22DB2B22P2OMMZ · pith_short_8: JQ22DB2B

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/JQ22DB2B22P2OMMZKPPRFSFDJ7 \
  | 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: 4c35a18741d69fa7319953df12c8a34ff0843d22d68ce78abede00dee153f807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16e12174ef6c2d4a7b8fcf7087bb93f178cc420f5cb1b9846f5610fc56a1c50c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-08T12:06:01Z",
    "title_canon_sha256": "002a7bdf5dcbd77501b56c588ac5984ba1ece63a71a39f8f0225468dc5e83e8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1670",
    "kind": "arxiv",
    "version": 1
  }
}