Pith Number

pith:VQOP2YVA

pith:2025:VQOP2YVAXESZLA465ZSK6K322Y

not attested not anchored not stored refs pending

Integer continued fractions for complex numbers

Cormac O'Sullivan

arxiv:2508.15078 v1 · 2025-08-20 · 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{VQOP2YVAXESZLA465ZSK6K322Y}

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

Cluster topography

Receipt and verification

First computed	2026-07-05T11:57:06.161403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac1cfd62a0b92595839eee64af2b7ad612f5c5686101e5a66e5c8ad4be01282a

Aliases

arxiv: 2508.15078 · arxiv_version: 2508.15078v1 · doi: 10.48550/arxiv.2508.15078 · pith_short_12: VQOP2YVAXESZ · pith_short_16: VQOP2YVAXESZLA46 · pith_short_8: VQOP2YVA

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/VQOP2YVAXESZLA465ZSK6K322Y \
  | 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: ac1cfd62a0b92595839eee64af2b7ad612f5c5686101e5a66e5c8ad4be01282a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbee7cf91494f3102fa7e03d72d0a292e6e44512281dbd197514eee9c6291ecf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-20T21:31:31Z",
    "title_canon_sha256": "3d655e1bf3ce14973192188d1403262cd6c93fdfd0e79f72d3d975ebda2b6059"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.15078",
    "kind": "arxiv",
    "version": 1
  }
}