Pith Number

pith:RWNKC4NJ

pith:2014:RWNKC4NJS75V7OXRHHECQVFGF4

not attested not anchored not stored refs pending

The lower bound of the PCM quantization error in high dimension

Heng Zhou, Zhiqiang Xu

arxiv:1403.4311 v1 · 2014-03-18 · math.NA · 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{RWNKC4NJS75V7OXRHHECQVFGF4}

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	2026-05-18T02:56:06.036431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d9aa171a997fb5fbaf139c82854a62f316616080480a63b4d032946c2260715

Aliases

arxiv: 1403.4311 · arxiv_version: 1403.4311v1 · doi: 10.48550/arxiv.1403.4311 · pith_short_12: RWNKC4NJS75V · pith_short_16: RWNKC4NJS75V7OXR · pith_short_8: RWNKC4NJ

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/RWNKC4NJS75V7OXRHHECQVFGF4 \
  | 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: 8d9aa171a997fb5fbaf139c82854a62f316616080480a63b4d032946c2260715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44002ee3665bcb2926fb7c45602e5934628c08b0066fed0655ac28d6b19db5d4",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-03-18T01:32:39Z",
    "title_canon_sha256": "496ff0009a1d5b1e04f9d96a182277af763c57cd1a24f7deb4eff13e7505067e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4311",
    "kind": "arxiv",
    "version": 1
  }
}