Pith Number

pith:3FN4SRAR

pith:2016:3FN4SRARPD4WIAIAXALJ6CNKWQ

not attested not anchored not stored refs pending

Sur la variation totale de la suite des parties fractionnaires des quotients d'un nombre r{\'e}el positif par les nombres entiers naturels cons{\'e}cutifs

Michel Balazard (I2M)

arxiv:1606.03378 v1 · 2016-06-09 · 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{3FN4SRARPD4WIAIAXALJ6CNKWQ}

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	2026-05-18T01:12:37.001577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d95bc9441178f9640100b8169f09aab407a660d7dec3aae21aa607eb5acf9b6b

Aliases

arxiv: 1606.03378 · arxiv_version: 1606.03378v1 · doi: 10.48550/arxiv.1606.03378 · pith_short_12: 3FN4SRARPD4W · pith_short_16: 3FN4SRARPD4WIAIA · pith_short_8: 3FN4SRAR

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/3FN4SRARPD4WIAIAXALJ6CNKWQ \
  | 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: d95bc9441178f9640100b8169f09aab407a660d7dec3aae21aa607eb5acf9b6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd27364d6f1853e91bde94f0ae42b17a404307e064f217de8a828814093bcbae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-09T07:10:30Z",
    "title_canon_sha256": "ef1a3bc5efcf572a945e3344c16e8c322a0fcc10445b9ac74f9aa0fb087faa47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03378",
    "kind": "arxiv",
    "version": 1
  }
}