Pith Number

pith:F4UPL43D

pith:2025:F4UPL43DKTDVDB5SCIJPG4XUXJ

not attested not anchored not stored refs pending

Continued fractions with large prime partial quotients

Benjamin Ward, Gerardo Gonz\'alez Robert, Lauren White, Mumtaz Hussain

arxiv:2507.17167 v1 · 2025-07-23 · math.NT · math.DS

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4UPL43DKTDVDB5SCIJPG4XUXJ}

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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

1 paper in Pith

Metric properties of continued fractions with large prime partial quotients

Receipt and verification

First computed	2026-07-05T11:42:02.716384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f28f5f36354c75187b21212f372f4ba6a28a18157b003f5df5f78713a01ad51

Aliases

arxiv: 2507.17167 · arxiv_version: 2507.17167v1 · doi: 10.48550/arxiv.2507.17167 · pith_short_12: F4UPL43DKTDV · pith_short_16: F4UPL43DKTDVDB5S · pith_short_8: F4UPL43D

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/F4UPL43DKTDVDB5SCIJPG4XUXJ \
  | 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: 2f28f5f36354c75187b21212f372f4ba6a28a18157b003f5df5f78713a01ad51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e14d0aebd8072d4a09e0b434a30160c618739c322ba0e4439a76d583df9b27c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-23T03:19:29Z",
    "title_canon_sha256": "b60c6135132cc003b87b53419e11e27720df196f1a3da08831357b986ef463a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17167",
    "kind": "arxiv",
    "version": 1
  }
}