Pith Number

pith:JOOZC4HI

pith:2018:JOOZC4HI2RJOQQQMFX2UUSMWVU

not attested not anchored not stored refs pending

On Bounded Remainder Sets and Strongly Non-Bounded Remainder Sets for Sequences $(\{a_n\alpha\})_{n\geq 1}$

Gerhard Larcher, Lisa Kaltenb\"ock

arxiv:1806.10336 v1 · 2018-06-27 · 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{JOOZC4HI2RJOQQQMFX2UUSMWVU}

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	2026-05-18T00:12:12.794951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b9d9170e8d452e8420c2df54a4996ad00c1e89f94d9c61c412a8a6f14cfe7bb

Aliases

arxiv: 1806.10336 · arxiv_version: 1806.10336v1 · doi: 10.48550/arxiv.1806.10336 · pith_short_12: JOOZC4HI2RJO · pith_short_16: JOOZC4HI2RJOQQQM · pith_short_8: JOOZC4HI

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/JOOZC4HI2RJOQQQMFX2UUSMWVU \
  | 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: 4b9d9170e8d452e8420c2df54a4996ad00c1e89f94d9c61c412a8a6f14cfe7bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "135414538ce8ebd1f90d7b24f2d36083040580488e2890464fb37984d6fb1a0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-27T08:22:44Z",
    "title_canon_sha256": "ad7253887b0692d78b765a65fc2f2958fcb18ffb37042b81461d68078301820a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10336",
    "kind": "arxiv",
    "version": 1
  }
}