Pith Number

pith:NDVAKFVU

pith:2018:NDVAKFVUEX4HN5PHZ6IANTR7PQ

not attested not anchored not stored refs pending

Bounds on the cardinality of restricted sumsets in $\mathbb{Z}_{p}$

Bernardo Llano, Gabriel Bengochea

arxiv:1803.09400 v1 · 2018-03-26 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDVAKFVUEX4HN5PHZ6IANTR7PQ}

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	2026-05-18T00:20:11.736920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68ea0516b425f876f5e7cf9006ce3f7c0ed0b3049b52709799eeadcbbbe65204

Aliases

arxiv: 1803.09400 · arxiv_version: 1803.09400v1 · doi: 10.48550/arxiv.1803.09400 · pith_short_12: NDVAKFVUEX4H · pith_short_16: NDVAKFVUEX4HN5PH · pith_short_8: NDVAKFVU

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/NDVAKFVUEX4HN5PHZ6IANTR7PQ \
  | 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: 68ea0516b425f876f5e7cf9006ce3f7c0ed0b3049b52709799eeadcbbbe65204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "919f3862490b6e404dab7711481724ce51893515b3f129b56c699af74e95deee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-26T03:39:44Z",
    "title_canon_sha256": "8eb7996a80d95e6b485a861c7ca7e4a0b8d001708948c11d40526f1baf977091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09400",
    "kind": "arxiv",
    "version": 1
  }
}