Pith Number

pith:NQ2DRKPD

pith:2011:NQ2DRKPDUCHHX4PZM4WG2VTICF

not attested not anchored not stored refs pending

The Waring rank of the sum of pairwise coprime monomials

Anthony V. Geramita, Enrico Carlini, Maria Virginia Catalisano

arxiv:1112.3474 v3 · 2011-12-15 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQ2DRKPDUCHHX4PZM4WG2VTICF}

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	2026-05-18T03:57:40.360960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c3438a9e3a08e7bf1f9672c6d56681155620c8d3bf1ca2018a21e21cabc2c51

Aliases

arxiv: 1112.3474 · arxiv_version: 1112.3474v3 · doi: 10.48550/arxiv.1112.3474 · pith_short_12: NQ2DRKPDUCHH · pith_short_16: NQ2DRKPDUCHHX4PZ · pith_short_8: NQ2DRKPD

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/NQ2DRKPDUCHHX4PZM4WG2VTICF \
  | 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: 6c3438a9e3a08e7bf1f9672c6d56681155620c8d3bf1ca2018a21e21cabc2c51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61112a2027de43edaac382e9b73b12c58a8368c05977e7a7be2dbc22009cdc0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-12-15T10:45:31Z",
    "title_canon_sha256": "c2ee79b64a53c38e22d7d6aa1e5b4b497d3ba2eae4998843b59e50dec09a72e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3474",
    "kind": "arxiv",
    "version": 3
  }
}