Pith Number

pith:NJYJQLR5

pith:2018:NJYJQLR5KLVJNR23GF7ZI357F4

not attested not anchored not stored refs pending

Frames of translates for number-theoretic groups

John J. Benedetto, Robert L. Benedetto

arxiv:1804.07783 v2 · 2018-04-20 · math.FA · 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{NJYJQLR5KLVJNR23GF7ZI357F4}

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	2026-05-17T23:44:48.369459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a70982e3d52ea96c75b317f946fbf2f31fcf0223aaa5831065ac3e181170ead

Aliases

arxiv: 1804.07783 · arxiv_version: 1804.07783v2 · doi: 10.48550/arxiv.1804.07783 · pith_short_12: NJYJQLR5KLVJ · pith_short_16: NJYJQLR5KLVJNR23 · pith_short_8: NJYJQLR5

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/NJYJQLR5KLVJNR23GF7ZI357F4 \
  | 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: 6a70982e3d52ea96c75b317f946fbf2f31fcf0223aaa5831065ac3e181170ead

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5e7dd264d7d226577b1bc24914f31d415d41e62713f5335725f48aa8e5edb63",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-20T18:21:30Z",
    "title_canon_sha256": "c281437cd8397cb6ffd91a63382ff87c03f2701ecefc00f0ac18d92647a21713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07783",
    "kind": "arxiv",
    "version": 2
  }
}