Pith Number

pith:YS63OVIQ

pith:2022:YS63OVIQF7I34A57B5ZLPUROMT

not attested not anchored not stored refs pending

Periodic points of algebraic functions related to a continued fraction of Ramanujan

Patrick Morton, Sushmanth J. Akkarapakam

arxiv:2210.00659 v2 · 2022-10-03 · 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{YS63OVIQF7I34A57B5ZLPUROMT}

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	2026-07-05T05:40:49.697877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4bdb755102fd1be03bf0f72b7d22e64d852e7ba7f3aab11ee6111a03070ac69

Aliases

arxiv: 2210.00659 · arxiv_version: 2210.00659v2 · doi: 10.48550/arxiv.2210.00659 · pith_short_12: YS63OVIQF7I3 · pith_short_16: YS63OVIQF7I34A57 · pith_short_8: YS63OVIQ

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/YS63OVIQF7I34A57B5ZLPUROMT \
  | 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: c4bdb755102fd1be03bf0f72b7d22e64d852e7ba7f3aab11ee6111a03070ac69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cecbee9f7cd6c7d424dff435f2a8bfcdaa5e5dcf5030946c32dd1baee322ea6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-10-03T00:28:28Z",
    "title_canon_sha256": "ec59cc88a8a0332447dbabf2ebde66b2c48b42351c51b0e1b33773adb8356d6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.00659",
    "kind": "arxiv",
    "version": 2
  }
}