Pith Number

pith:EGAHN5W2

pith:2014:EGAHN5W2TPC45N5LG3OQYXIPPF

not attested not anchored not stored refs pending

Gaps in sumsets of $s$ pseudo s-th power sequences

Javier Cilleruelo, Jean-Marc Deshouillers

arxiv:1404.5237 v2 · 2014-04-21 · 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{EGAHN5W2TPC45N5LG3OQYXIPPF}

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	2026-05-18T02:52:33.655168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

218076f6da9bc5ceb7ab36dd0c5d0f79419cac6ad7a979d214ffaaa2634d3c31

Aliases

arxiv: 1404.5237 · arxiv_version: 1404.5237v2 · doi: 10.48550/arxiv.1404.5237 · pith_short_12: EGAHN5W2TPC4 · pith_short_16: EGAHN5W2TPC45N5L · pith_short_8: EGAHN5W2

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/EGAHN5W2TPC45N5LG3OQYXIPPF \
  | 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: 218076f6da9bc5ceb7ab36dd0c5d0f79419cac6ad7a979d214ffaaa2634d3c31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaaa4bacf0d45d9b39521e53865d19a4c16f02251618a83f0c54ab0d04cc273d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-21T16:28:30Z",
    "title_canon_sha256": "6efdd58b30c9cfe53e97acc0ec17fe651c7d8cf07a638b79fdcdcc56660010b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5237",
    "kind": "arxiv",
    "version": 2
  }
}