Pith Number

pith:NNNSFZIA

pith:2016:NNNSFZIAQBHNWUCHBIHHFEBPIW

not attested not anchored not stored refs pending

Sur la variation quadratique totale de la suite des parties fractionnaires des quotients d'un nombre r\'eel positif par les nombres entiers naturels cons\'ecutifs

Michel Balazard (I2M)

arxiv:1606.03377 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{NNNSFZIAQBHNWUCHBIHHFEBPIW}

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	2026-05-18T01:12:37.006661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b5b22e500804edb50470a0e72902f45b0f82fdc26ccc42a8fcdb3fcce5de28b

Aliases

arxiv: 1606.03377 · arxiv_version: 1606.03377v1 · doi: 10.48550/arxiv.1606.03377 · pith_short_12: NNNSFZIAQBHN · pith_short_16: NNNSFZIAQBHNWUCH · pith_short_8: NNNSFZIA

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/NNNSFZIAQBHNWUCHBIHHFEBPIW \
  | 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: 6b5b22e500804edb50470a0e72902f45b0f82fdc26ccc42a8fcdb3fcce5de28b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e346140732fa0aadca03aa529657706f8a918b908442908f375cd870d9fc92bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-09T07:27:14Z",
    "title_canon_sha256": "352881947d4fb97d94b0b854bcb9c65b589d41b8a16e1f0f335575a6f3e67d66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03377",
    "kind": "arxiv",
    "version": 1
  }
}