Pith Number

pith:7APM6RZU

pith:2016:7APM6RZUSUNKGRVVESAD6SGUY3

not attested not anchored not stored refs pending

LWE from Non-commutative Group Rings

Jincheng Zhuang, Jun Zhang, Qi Cheng

arxiv:1612.06670 v3 · 2016-12-20 · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7APM6RZUSUNKGRVVESAD6SGUY3}

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	2026-05-18T00:41:58.008436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f81ecf4734951aa346b524803f48d4c6e3d52b1810d3a6ef30711f58a340cb8f

Aliases

arxiv: 1612.06670 · arxiv_version: 1612.06670v3 · doi: 10.48550/arxiv.1612.06670 · pith_short_12: 7APM6RZUSUNK · pith_short_16: 7APM6RZUSUNKGRVV · pith_short_8: 7APM6RZU

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/7APM6RZUSUNKGRVVESAD6SGUY3 \
  | 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: f81ecf4734951aa346b524803f48d4c6e3d52b1810d3a6ef30711f58a340cb8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76fbfbe5419a482fd7449d5075ff7e4540b13740b35efcaa29a029a8db7782c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2016-12-20T14:13:17Z",
    "title_canon_sha256": "e0f863976d9b233a4024cc58c3f5037a20707d0bcd82810d22b93f9a1173aad2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06670",
    "kind": "arxiv",
    "version": 3
  }
}