Pith Number

pith:S4SH6NNX

pith:2015:S4SH6NNXZH5XDD6WMJLX4DVYYS

not attested not anchored not stored refs pending

Small Width, Low Distortions: Quantized Random Embeddings of Low-complexity Sets

Laurent Jacques

arxiv:1504.06170 v3 · 2015-04-23 · 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{S4SH6NNXZH5XDD6WMJLX4DVYYS}

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	2026-05-18T00:59:27.790218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97247f35b7c9fb718fd662577e0eb8c496831959ee9d178a68041eba76172427

Aliases

arxiv: 1504.06170 · arxiv_version: 1504.06170v3 · doi: 10.48550/arxiv.1504.06170 · pith_short_12: S4SH6NNXZH5X · pith_short_16: S4SH6NNXZH5XDD6W · pith_short_8: S4SH6NNX

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/S4SH6NNXZH5XDD6WMJLX4DVYYS \
  | 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: 97247f35b7c9fb718fd662577e0eb8c496831959ee9d178a68041eba76172427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a20b6e94046767ad5aa6b41e76fb2d26529b98617b43b7ff86fc84a948911313",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-04-23T13:16:30Z",
    "title_canon_sha256": "fbe8dcdebff66eac1df965bcc73322b5f960816370d17ba4f3777775fb8e26ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06170",
    "kind": "arxiv",
    "version": 3
  }
}