Pith Number

pith:45GZR6WH

pith:2016:45GZR6WHD3PIHGD2DLMKB4LB3G

not attested not anchored not stored refs pending

Low-Dimensional Shaping for High-Dimensional Lattice Codes

Behnaam Aazhang, Brian M. Kurkoski, Matthew Nokleby, Nuwan S. Ferdinand

arxiv:1608.01267 v1 · 2016-08-03 · 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{45GZR6WHD3PIHGD2DLMKB4LB3G}

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	2026-05-18T01:09:56.027118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e74d98fac71ede83987a1ad8a0f161d9a5e05bedf3b7dacb98f18c1a7f76e25f

Aliases

arxiv: 1608.01267 · arxiv_version: 1608.01267v1 · doi: 10.48550/arxiv.1608.01267 · pith_short_12: 45GZR6WHD3PI · pith_short_16: 45GZR6WHD3PIHGD2 · pith_short_8: 45GZR6WH

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/45GZR6WHD3PIHGD2DLMKB4LB3G \
  | 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: e74d98fac71ede83987a1ad8a0f161d9a5e05bedf3b7dacb98f18c1a7f76e25f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b1da483c5a5cb5aebacd23b6cf797d8e8b57b1f5813aa3a151d7138764bce34",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-08-03T17:52:11Z",
    "title_canon_sha256": "58e5aad240936b1a9cfac6a7ebbd442267993d4240ecc0e9aac0012d31bfa96f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01267",
    "kind": "arxiv",
    "version": 1
  }
}