Pith Number

pith:K353IEB3

pith:2021:K353IEB3CPS6UTEJXZYILNXDOF

not attested not anchored not stored refs pending

Cyclic Lattices, Ideal Lattices and Bounds for the Smoothing Parameter

Fengxia Liu, Kun Tian, Yunfan Lu, Zhiyong Zheng

arxiv:2112.13185 v1 · 2021-12-25 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K353IEB3CPS6UTEJXZYILNXDOF}

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	2026-07-05T03:43:50.860118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56fbb4103b13e5ea4c89be7085b6e3715ad3a428e79e525442529dfa76a1c561

Aliases

arxiv: 2112.13185 · arxiv_version: 2112.13185v1 · doi: 10.48550/arxiv.2112.13185 · pith_short_12: K353IEB3CPS6 · pith_short_16: K353IEB3CPS6UTEJ · pith_short_8: K353IEB3

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/K353IEB3CPS6UTEJXZYILNXDOF \
  | 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: 56fbb4103b13e5ea4c89be7085b6e3715ad3a428e79e525442529dfa76a1c561

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3a60d2996a02b480372a2a151803c3b515853a0de44156971caf0759dc1d45b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-12-25T05:12:27Z",
    "title_canon_sha256": "27bfde273c7e797c238a4c2d1e90b7ab9154a0e7ea4001c3946047428f53256f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.13185",
    "kind": "arxiv",
    "version": 1
  }
}