Pith Number

pith:RMEBQM7J

pith:2009:RMEBQM7JXR6N5NJQYBZDRBMJDP

not attested not anchored not stored refs pending

The number of rational numbers determined by large sets of integers

D.S. Ramana, Javier Cilleruelo, Olivier Ramare

arxiv:0903.2714 v1 · 2009-03-16 · 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{RMEBQM7JXR6N5NJQYBZDRBMJDP}

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	2026-05-18T02:58:03.389255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b081833e9bc7cdeb530c0723885891bdbe494b355b8267b48123860b6ad4c59

Aliases

arxiv: 0903.2714 · arxiv_version: 0903.2714v1 · doi: 10.48550/arxiv.0903.2714 · pith_short_12: RMEBQM7JXR6N · pith_short_16: RMEBQM7JXR6N5NJQ · pith_short_8: RMEBQM7J

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/RMEBQM7JXR6N5NJQYBZDRBMJDP \
  | 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: 8b081833e9bc7cdeb530c0723885891bdbe494b355b8267b48123860b6ad4c59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e25c1b9db48fdb4349f4bc3eed86fd003c2c966cd9bd98afe7f5a3343b1db3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-03-16T09:59:48Z",
    "title_canon_sha256": "0e13732980cb22f4ab9f1c4d20c3db7482b3b67305eb19cd313d79291dc314fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2714",
    "kind": "arxiv",
    "version": 1
  }
}