Pith Number

pith:MBMES3BA

pith:2019:MBMES3BAZHKJ32PG3XOIVAAOCO

not attested not anchored not stored refs pending

Sur la variation de certaines suites de parties fractionnaires

Leila Benferhat (USTHB), Michel Balazard (I2M), Mihoub Bouderbala (USTHB)

arxiv:1907.09768 v1 · 2019-07-23 · 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{MBMES3BAZHKJ32PG3XOIVAAOCO}

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	2026-05-17T23:39:50.090571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6058496c20c9d49de9e6dddc8a800e13b42a333b87a2d9b89dea88bb3802497a

Aliases

arxiv: 1907.09768 · arxiv_version: 1907.09768v1 · doi: 10.48550/arxiv.1907.09768 · pith_short_12: MBMES3BAZHKJ · pith_short_16: MBMES3BAZHKJ32PG · pith_short_8: MBMES3BA

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/MBMES3BAZHKJ32PG3XOIVAAOCO \
  | 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: 6058496c20c9d49de9e6dddc8a800e13b42a333b87a2d9b89dea88bb3802497a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb056cf300dd551b8e6a634e15461f9a054b059be30ef3e82c901a6c6bd26493",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-23T09:00:13Z",
    "title_canon_sha256": "98b046146404832510dcdfbde8aef82b1617dba85891e20674dc015ba76835e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09768",
    "kind": "arxiv",
    "version": 1
  }
}