Pith Number

pith:YYW2XEEV

pith:2026:YYW2XEEVKBDPPGXJ77IKLSLVK7

not attested not anchored not stored refs pending

Irrationality of rapidly converging series: a problem of Erd\H{o}s and Graham

Jiwon Kang, Kevin Barreto, Sang-hyun Kim, Shengtong Zhang, Vjekoslav Kova\v{c}

arxiv:2601.21442 v3 · 2026-01-29 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYW2XEEVKBDPPGXJ77IKLSLVK7}

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.

Cited by

3 papers in Pith

From Solvers to Research: Large Language Model-Driven Formal Mathematics at the Research Frontier

LeanMarathon: Toward Reliable AI Co-Mathematicians through Long-Horizon Lean Autoformalization

Automated Conjecture Resolution with Formal Verification

Receipt and verification

First computed	2026-07-09T01:19:51.530377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c62dab90955046f79ae9ffd0a5c97557ca3150982cf200f68fa549ba6a90ae9a

Aliases

arxiv: 2601.21442 · arxiv_version: 2601.21442v3 · doi: 10.48550/arxiv.2601.21442 · pith_short_12: YYW2XEEVKBDP · pith_short_16: YYW2XEEVKBDPPGXJ · pith_short_8: YYW2XEEV

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/YYW2XEEVKBDPPGXJ77IKLSLVK7 \
  | 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: c62dab90955046f79ae9ffd0a5c97557ca3150982cf200f68fa549ba6a90ae9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03ae4631e6c4b4970f887de1f20db9fdece43d824b022f9ee8b901b04ace4400",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-01-29T09:22:08Z",
    "title_canon_sha256": "5a51523d032ee0d62cf8e786ed76d036ae2b496465c2c5433232e47965f3850c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.21442",
    "kind": "arxiv",
    "version": 3
  }
}