Pith Number

pith:X6YQ5USQ

pith:2013:X6YQ5USQEJIIXOSPSGJ7EUD54L

not attested not anchored not stored refs pending

A Note on Discrete Gaussian Combinations of Lattice Vectors

Divesh Aggarwal, Oded Regev

arxiv:1308.2405 v2 · 2013-08-11 · cs.CR · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6YQ5USQEJIIXOSPSGJ7EUD54L}

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	2026-05-18T03:02:46.817881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfb10ed25022508bba4f9193f2507de2f7ee3fb438e6254aa2106a41e8727399

Aliases

arxiv: 1308.2405 · arxiv_version: 1308.2405v2 · doi: 10.48550/arxiv.1308.2405 · pith_short_12: X6YQ5USQEJII · pith_short_16: X6YQ5USQEJIIXOSP · pith_short_8: X6YQ5USQ

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/X6YQ5USQEJIIXOSPSGJ7EUD54L \
  | 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: bfb10ed25022508bba4f9193f2507de2f7ee3fb438e6254aa2106a41e8727399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5323349c6fc7bb56f79bead72eb978173ee7c8547ec24056ee3af1f0c201343f",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2013-08-11T16:13:31Z",
    "title_canon_sha256": "81f5d9b34f42642b9da6d7b928cf6255fc646da48c9d2e59d9694f20d260c6f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2405",
    "kind": "arxiv",
    "version": 2
  }
}