Pith Number

pith:YRLAPWN4

pith:2025:YRLAPWN452LHEI6ONRCJZVJDKO

not attested not anchored not stored refs pending

Some Mathematical Problems Behind Lattice-Based Cryptography

Chuanming Zong

arxiv:2506.23438 v1 · 2025-06-30 · math.MG · 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{YRLAPWN452LHEI6ONRCJZVJDKO}

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	2026-07-05T11:29:21.677350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c45607d9bcee967223ce6c449cd52353b60d1fb9c88cfc8efd6f5b9efdc71904

Aliases

arxiv: 2506.23438 · arxiv_version: 2506.23438v1 · doi: 10.48550/arxiv.2506.23438 · pith_short_12: YRLAPWN452LH · pith_short_16: YRLAPWN452LHEI6O · pith_short_8: YRLAPWN4

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/YRLAPWN452LHEI6ONRCJZVJDKO \
  | 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: c45607d9bcee967223ce6c449cd52353b60d1fb9c88cfc8efd6f5b9efdc71904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbf65df6716a4410c529bea3029f8d7f4dcb10efc164b077c38e4dc286afaa76",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-06-30T00:25:21Z",
    "title_canon_sha256": "4fda0e95d08ad23d062b2a21d38b2e416831ca7083aaed0bc4666dec7bfebd56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23438",
    "kind": "arxiv",
    "version": 1
  }
}