Pith Number

pith:MMVQKA5F

pith:2013:MMVQKA5FFV365K4WALRRAS4XNB

not attested not anchored not stored refs pending

On the Sum of Dilations of a Set

Antal Balog, George Shakan

arxiv:1311.0422 v2 · 2013-11-03 · math.NT

Open paper page JSON What is a Pith Number?

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

Receipt and verification

First computed	2026-05-18T03:06:44.129067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

632b0503a52d77eeab9602e3104b9768579b167511bb7d8e51b76b9ef78a44ec

Aliases

arxiv: 1311.0422 · arxiv_version: 1311.0422v2 · doi: 10.48550/arxiv.1311.0422

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/MMVQKA5FFV365K4WALRRAS4XNB \
  | 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: 632b0503a52d77eeab9602e3104b9768579b167511bb7d8e51b76b9ef78a44ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0adde51895856f902fe93e6d0307f7805a9e826a489c74d4a6d49f8ca957ad7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-03T01:34:44Z",
    "title_canon_sha256": "842594fb2c64b4581cad9c9eff4aaa2c2e9d41fb08d32a990d7fde793281e9a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0422",
    "kind": "arxiv",
    "version": 2
  }
}