Pith Number

pith:24BQLB3N

pith:2004:24BQLB3NDCTWAIPNXGQK3YAV6T

not attested not anchored not stored refs pending

On the convergence of continued fractions at Runckel's points and the Ramanujan conjecture

Alexei Tsygvintsev

arxiv:math/0412298 v1 · 2004-12-15 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24BQLB3NDCTWAIPNXGQK3YAV6T}

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	2026-05-18T00:07:44.269631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d70305876d18a76021edb9a0ade015f4eef4daa724bf996f90545d3c0b24f9e0

Aliases

arxiv: math/0412298 · arxiv_version: math/0412298v1 · doi: 10.48550/arxiv.math/0412298 · pith_short_12: 24BQLB3NDCTW · pith_short_16: 24BQLB3NDCTWAIPN · pith_short_8: 24BQLB3N

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/24BQLB3NDCTWAIPNXGQK3YAV6T \
  | 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: d70305876d18a76021edb9a0ade015f4eef4daa724bf996f90545d3c0b24f9e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3146de55a56aa64994094b15269ca9446d4b60c179e092f880a7f82ee511263",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2004-12-15T11:25:32Z",
    "title_canon_sha256": "35a52c56c5c80bb0a36415e2dc2bceb4935879a9e86c7c1e125825fd41094e87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412298",
    "kind": "arxiv",
    "version": 1
  }
}