Pith Number

pith:NYUBGUR3

pith:2024:NYUBGUR32XNTGALBHLNQISYJXC

not attested not anchored not stored refs pending

On the fractional parts of certain sequences of $\xi \alpha^{n}$

Chi Hoi Yip, Xiang Gao

arxiv:2408.02972 v2 · 2024-08-06 · 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{NYUBGUR32XNTGALBHLNQISYJXC}

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	2026-05-26T01:03:08.903918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e2813523bd5db3301613adb044b09b8a7f604b682f5f0d434039542e3bf7c09

Aliases

arxiv: 2408.02972 · arxiv_version: 2408.02972v2 · doi: 10.48550/arxiv.2408.02972 · pith_short_12: NYUBGUR32XNT · pith_short_16: NYUBGUR32XNTGALB · pith_short_8: NYUBGUR3

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/NYUBGUR32XNTGALBHLNQISYJXC \
  | 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: 6e2813523bd5db3301613adb044b09b8a7f604b682f5f0d434039542e3bf7c09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "511467f31feae7ba7ebba27b752579181be5b001f2bd7cb91bc75c3e76dbdef9",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-08-06T06:06:23Z",
    "title_canon_sha256": "0433e3da62b9ec98ff627b8730ed36f0c04bdf96127938261a7dba4887349c9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.02972",
    "kind": "arxiv",
    "version": 2
  }
}