Pith Number

pith:M2EI5MFL

pith:2013:M2EI5MFLU6EVX7OFMXIEKQO64I

not attested not anchored not stored refs pending

Sur l'autocorr\'elation multiplicative de la fonction "partie fractionnaire" et une fonction d\'efinie par J. R. Wilton

Bruno Martin (LMPA), Michel Balazard (IML)

arxiv:1305.4395 v1 · 2013-05-19 · 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{M2EI5MFLU6EVX7OFMXIEKQO64I}

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	2026-05-18T03:25:23.843259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66888eb0aba7895bfdc565d04541dee2382074e4596f35518c1383d994bfae76

Aliases

arxiv: 1305.4395 · arxiv_version: 1305.4395v1 · doi: 10.48550/arxiv.1305.4395 · pith_short_12: M2EI5MFLU6EV · pith_short_16: M2EI5MFLU6EVX7OF · pith_short_8: M2EI5MFL

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/M2EI5MFLU6EVX7OFMXIEKQO64I \
  | 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: 66888eb0aba7895bfdc565d04541dee2382074e4596f35518c1383d994bfae76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97dbe037ca7e7ce8893decd4bd32a5a07735f208a7c703d7de3e4ba3bbd8286a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-19T18:58:35Z",
    "title_canon_sha256": "0966a9d442e890f8bd02c07a749bab00ec317c7fe00df4102527f180f05e8aa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4395",
    "kind": "arxiv",
    "version": 1
  }
}