Pith Number

pith:ODMGIRME

pith:2025:ODMGIRMEIZAMDJRSUCV6GR75BQ

not attested not anchored not stored refs pending

Asymptotic Analysis of Infinite Decompositions of a Unit Fraction into Unit Fractions

Yuhi Kamio

arxiv:2503.02317 v1 · 2025-03-04 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODMGIRMEIZAMDJRSUCV6GR75BQ}

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

1 paper in Pith

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control

Receipt and verification

First computed	2026-07-05T10:23:41.524881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70d86445844640c1a632a0abe347fd0c16775fb2e76c8468e6774a75a2cff1e3

Aliases

arxiv: 2503.02317 · arxiv_version: 2503.02317v1 · doi: 10.48550/arxiv.2503.02317 · pith_short_12: ODMGIRMEIZAM · pith_short_16: ODMGIRMEIZAMDJRS · pith_short_8: ODMGIRME

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/ODMGIRMEIZAMDJRSUCV6GR75BQ \
  | 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: 70d86445844640c1a632a0abe347fd0c16775fb2e76c8468e6774a75a2cff1e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bfca16326e4695397db777e6ae5e704e3669f89569f44ada813e454121cdd83",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-03-04T06:17:35Z",
    "title_canon_sha256": "3ee76cb8db4f0a4f26d49e65f10f375c46e70bd5ab6aec946c11978a7a2e94ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.02317",
    "kind": "arxiv",
    "version": 1
  }
}