Pith Number

pith:RW2D2TAB

pith:2016:RW2D2TABCSACJ6J3U343L6TXQE

not attested not anchored not stored refs pending

Spectra for cubes in products of finite cyclic groups

Elona Agora, Mihail N. Kolountzakis, Sigrid Grepstad

arxiv:1602.03165 v1 · 2016-02-09 · math.CA · 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{RW2D2TABCSACJ6J3U343L6TXQE}

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	2026-05-18T01:21:03.298637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8db43d4c01148024f93ba6f9b5fa77811deac458917e4a963cbfa5eb25054b5f

Aliases

arxiv: 1602.03165 · arxiv_version: 1602.03165v1 · doi: 10.48550/arxiv.1602.03165 · pith_short_12: RW2D2TABCSAC · pith_short_16: RW2D2TABCSACJ6J3 · pith_short_8: RW2D2TAB

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/RW2D2TABCSACJ6J3U343L6TXQE \
  | 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: 8db43d4c01148024f93ba6f9b5fa77811deac458917e4a963cbfa5eb25054b5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "171891617fb7715af39424c4d0e5d2fd92dbf1e52165f5ed7d76c3b5e50822d3",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-02-09T20:54:12Z",
    "title_canon_sha256": "8c943b077add2ff6026a2889ccf9630198d537783f1ba5ee7e59ceb11fa7991d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03165",
    "kind": "arxiv",
    "version": 1
  }
}