Pith Number

pith:64I72HFA

pith:2014:64I72HFAOUPK66GIRYD4PPQODY

not attested not anchored not stored refs pending

Additive properties of sequences of pseudo s-th powers

Alain Plagne, Javier Cilleruelo, Jean-Marc Deshouillers, Victor Lambert

arxiv:1407.5291 v1 · 2014-07-20 · 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{64I72HFAOUPK66GIRYD4PPQODY}

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	2026-05-18T02:47:14.400493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f711fd1ca0751eaf78c88e07c7be0e1e25d2b5d9355eef9d87750f520a2f749e

Aliases

arxiv: 1407.5291 · arxiv_version: 1407.5291v1 · doi: 10.48550/arxiv.1407.5291 · pith_short_12: 64I72HFAOUPK · pith_short_16: 64I72HFAOUPK66GI · pith_short_8: 64I72HFA

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/64I72HFAOUPK66GIRYD4PPQODY \
  | 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: f711fd1ca0751eaf78c88e07c7be0e1e25d2b5d9355eef9d87750f520a2f749e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c76ac7984b8a07587c16e3f5a1be7e7093c7d885f0e9d073d6b7aeb8ba0f8625",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-20T13:57:52Z",
    "title_canon_sha256": "c9abd2bc4854ff3fd991f617d19429805913201918535147de6511561bc0c396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5291",
    "kind": "arxiv",
    "version": 1
  }
}