Pith Number

pith:35LDU7W7

pith:2015:35LDU7W7CS2Q27S7Z7CE7H7HEO

not attested not anchored not stored refs pending

On sets free of sumsets with summands of prescribed size

Javier Cilleruelo, Rafael Tesoro

arxiv:1504.00137 v1 · 2015-04-01 · math.NT · 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{35LDU7W7CS2Q27S7Z7CE7H7HEO}

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	2026-05-18T02:19:44.477516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df563a7edf14b50d7e5fcfc44f9fe723a4dc1690aac088d0b6388f42de4b37da

Aliases

arxiv: 1504.00137 · arxiv_version: 1504.00137v1 · doi: 10.48550/arxiv.1504.00137 · pith_short_12: 35LDU7W7CS2Q · pith_short_16: 35LDU7W7CS2Q27S7 · pith_short_8: 35LDU7W7

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/35LDU7W7CS2Q27S7Z7CE7H7HEO \
  | 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: df563a7edf14b50d7e5fcfc44f9fe723a4dc1690aac088d0b6388f42de4b37da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f7e588914d00ee70e8027256efcc1e40a228687681fd393b9b1d0f222f5617",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-01T08:16:08Z",
    "title_canon_sha256": "d61bf89c0b18a087dff6cfc0652e3b675876e2571149992b71e77c3b31eba808"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00137",
    "kind": "arxiv",
    "version": 1
  }
}