Pith Number

pith:DQKAFTMP

pith:2013:DQKAFTMPH5HOEKICQ77QUZUIZN

not attested not anchored not stored refs pending

Averaging operators over homogeneous varieties over finite fields

Chun-Yen Shen, Doowon Koh, Igor Shparlinski

arxiv:1304.1990 v1 · 2013-04-07 · math.FA · math.AG · 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{DQKAFTMPH5HOEKICQ77QUZUIZN}

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	2026-05-18T03:28:28.816910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c1402cd8f3f4ee2290287ff0a6688cb79a9c552a0f3ae1180c479acf2a10f7b

Aliases

arxiv: 1304.1990 · arxiv_version: 1304.1990v1 · doi: 10.48550/arxiv.1304.1990 · pith_short_12: DQKAFTMPH5HO · pith_short_16: DQKAFTMPH5HOEKIC · pith_short_8: DQKAFTMP

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/DQKAFTMPH5HOEKICQ77QUZUIZN \
  | 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: 1c1402cd8f3f4ee2290287ff0a6688cb79a9c552a0f3ae1180c479acf2a10f7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63c1ae7ea1dc4f44573a25866f17fbf5e9417abed692df5fb1734f470c51de9b",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-04-07T12:30:04Z",
    "title_canon_sha256": "a16c7e01a1395daea9c8946895c9b1d6749f70676cd917097740aef34aec111e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1990",
    "kind": "arxiv",
    "version": 1
  }
}