Pith Number

pith:U6URA6XV

pith:2011:U6URA6XVVCJXSUHKSLK22ABUMP

not attested not anchored not stored refs pending

The Solution to Waring's Problem for Monomials

Anthony V. Geramita, Enrico Carlini, Maria Virginia Catalisano

arxiv:1110.0745 v1 · 2011-10-04 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U6URA6XVVCJXSUHKSLK22ABUMP}

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	2026-05-18T04:11:41.108879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7a9107af5a8937950ea92d5ad003463cac23bc903421ea5345a993ced01e42f

Aliases

arxiv: 1110.0745 · arxiv_version: 1110.0745v1 · doi: 10.48550/arxiv.1110.0745 · pith_short_12: U6URA6XVVCJX · pith_short_16: U6URA6XVVCJXSUHK · pith_short_8: U6URA6XV

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/U6URA6XVVCJXSUHKSLK22ABUMP \
  | 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: a7a9107af5a8937950ea92d5ad003463cac23bc903421ea5345a993ced01e42f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5a05cd3d3ad6467bfd35414ed815bd8503afbc710b4a0fbe73756bcb8a87769",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-10-04T16:28:25Z",
    "title_canon_sha256": "86007a8fc3f645dc9466695344cf5671ad753fccaa0cc017f42d2520c41953d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0745",
    "kind": "arxiv",
    "version": 1
  }
}