Pith Number

pith:4IUIA4KD

pith:2015:4IUIA4KDCIGHLYW5ECCWEISNFF

not attested not anchored not stored refs pending

Tiling sets and spectral sets over finite fields

A. Iosevich, A. Lott, A. Sheikh, B. Ayachi, C. Aten, C. Rojas Mena, C. Yu, D. FitzPatrick, E. Bau, G. Petridis, H. Liu, I. MacKinnon, J. Pakianathan, J. Weill, S. Maimon, S. Nan, T. Tribone

arxiv:1509.01090 v1 · 2015-09-03 · math.CA · math.CO · 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{4IUIA4KDCIGHLYW5ECCWEISNFF}

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	2026-05-18T01:34:04.331835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e228807143120c75e2dd208562224d2957180f8cb2b3ff587d67fbe8d598eaf8

Aliases

arxiv: 1509.01090 · arxiv_version: 1509.01090v1 · doi: 10.48550/arxiv.1509.01090 · pith_short_12: 4IUIA4KDCIGH · pith_short_16: 4IUIA4KDCIGHLYW5 · pith_short_8: 4IUIA4KD

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/4IUIA4KDCIGHLYW5ECCWEISNFF \
  | 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: e228807143120c75e2dd208562224d2957180f8cb2b3ff587d67fbe8d598eaf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba966a04e7a2dada0973a1919123881f2dc2e84186e59d001296f24d887dd2c1",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-03T14:02:41Z",
    "title_canon_sha256": "0c8b191c93e31917864d877c3f441a683f3233bbf93a8b63fb3924dd8829b61c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01090",
    "kind": "arxiv",
    "version": 1
  }
}