Pith Number

pith:RSYTSTNF

pith:2019:RSYTSTNFPD5DX2F3OQNKKRBBWW

not attested not anchored not stored refs pending

The largest $(k, \ell)$-sum-free sets in compact abelian groups

Noah Kravitz

arxiv:1901.03233 v2 · 2019-01-10 · math.CO · math.GR · 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{RSYTSTNFPD5DX2F3OQNKKRBBWW}

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	2026-05-17T23:56:22.685766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cb1394da578fa3be8bb741aa54421b5b81ed79064511c5b95a126faac5d6b59

Aliases

arxiv: 1901.03233 · arxiv_version: 1901.03233v2 · doi: 10.48550/arxiv.1901.03233 · pith_short_12: RSYTSTNFPD5D · pith_short_16: RSYTSTNFPD5DX2F3 · pith_short_8: RSYTSTNF

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/RSYTSTNFPD5DX2F3OQNKKRBBWW \
  | 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: 8cb1394da578fa3be8bb741aa54421b5b81ed79064511c5b95a126faac5d6b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "010de0d045a8cfccfce771ebf72ada2b63c81afd54ca93e9ddcd54a9dc93b832",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-10T15:52:01Z",
    "title_canon_sha256": "98d640d8a16b3a90fd2e04aee59df868a1df9c08e275d0975eadf84e8a97e525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03233",
    "kind": "arxiv",
    "version": 2
  }
}