Pith Number

pith:I2FFVJV4

pith:2022:I2FFVJV4MSDHL5TQA4MY24YVUJ

not attested not anchored not stored refs pending

Waring numbers over finite commutative local rings

Denis E. Videla, Ricardo A. Podest\'a

arxiv:2212.12396 v3 · 2022-12-23 · math.AC · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2FFVJV4MSDHL5TQA4MY24YVUJ}

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	2026-07-05T06:20:39.671169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

468a5aa6bc648675f67007198d7315a24999a118e0fc816a4e9345bf3b514cb7

Aliases

arxiv: 2212.12396 · arxiv_version: 2212.12396v3 · doi: 10.48550/arxiv.2212.12396 · pith_short_12: I2FFVJV4MSDH · pith_short_16: I2FFVJV4MSDHL5TQ · pith_short_8: I2FFVJV4

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/I2FFVJV4MSDHL5TQA4MY24YVUJ \
  | 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: 468a5aa6bc648675f67007198d7315a24999a118e0fc816a4e9345bf3b514cb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f8c8dab50d1229e5253d1e7a5df4afcc02c81802a90f058ec5c0aca71ac4e8a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2022-12-23T15:27:22Z",
    "title_canon_sha256": "0e8af3f25123af65b4a840df18426f6296d928173d82c5405b57520bd14a6fb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.12396",
    "kind": "arxiv",
    "version": 3
  }
}