Pith Number

pith:RXFY72Y7

pith:2013:RXFY72Y7XOREKPBGRLOMISRQAZ

not attested not anchored not stored refs pending

A dynamical point of view on the set of B-free integers

El Houcein El Abdalaoui (LMRS), Mariusz Lemanczyk, Thierry de la Rue (LMRS)

arxiv:1311.3752 v3 · 2013-11-15 · math.DS · 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{RXFY72Y7XOREKPBGRLOMISRQAZ}

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	2026-05-18T03:06:21.363232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dcb8feb1fbba2453c268adcc44a3006514c442f70c5a8b7d68e91c95ced443a

Aliases

arxiv: 1311.3752 · arxiv_version: 1311.3752v3 · doi: 10.48550/arxiv.1311.3752 · pith_short_12: RXFY72Y7XORE · pith_short_16: RXFY72Y7XOREKPBG · pith_short_8: RXFY72Y7

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/RXFY72Y7XOREKPBGRLOMISRQAZ \
  | 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: 8dcb8feb1fbba2453c268adcc44a3006514c442f70c5a8b7d68e91c95ced443a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0efb47a16434737fc65cf7d7d0da13817d56a9c2a5b0570e811dcea81c164836",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-15T07:35:39Z",
    "title_canon_sha256": "b7e220387524b43811b0e42271f13fe3a2e312219dd582bed4c407ef96e934cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3752",
    "kind": "arxiv",
    "version": 3
  }
}