Pith Number

pith:TJMAX7AQ

pith:2024:TJMAX7AQKJDQAQA5IQUTVHEBFJ

not attested not anchored not stored refs pending

Multiplicative Diophantine approximation with restricted denominators

Bing Li, Ruofan Li, Yufeng Wu

arxiv:2409.18635 v1 · 2024-09-27 · 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{TJMAX7AQKJDQAQA5IQUTVHEBFJ}

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	2026-07-05T09:12:38.712371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a580bfc10524700401d44293a9c812a76d1c71c6e9259b610e37c3799e467c5

Aliases

arxiv: 2409.18635 · arxiv_version: 2409.18635v1 · doi: 10.48550/arxiv.2409.18635 · pith_short_12: TJMAX7AQKJDQ · pith_short_16: TJMAX7AQKJDQAQA5 · pith_short_8: TJMAX7AQ

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/TJMAX7AQKJDQAQA5IQUTVHEBFJ \
  | 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: 9a580bfc10524700401d44293a9c812a76d1c71c6e9259b610e37c3799e467c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c41312cca5c5b876a2731007257476e9a0d7ee6444c282adb8d79030c1552036",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-09-27T11:07:30Z",
    "title_canon_sha256": "d82fafa0fcbafa4354ee474e1e9410322798b60b19fbb0cce866a698df2b2e39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.18635",
    "kind": "arxiv",
    "version": 1
  }
}