Pith Number

pith:Z5KRC3Z3

pith:2016:Z5KRC3Z3AK7QYDVGISZ736T5OI

not attested not anchored not stored refs pending

Least upper bound of the exact formula for optimal quantization of some uniform Cantor distributions

Mrinal Kanti Roychowdhury

arxiv:1606.04134 v6 · 2016-06-13 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5KRC3Z3AK7QYDVGISZ736T5OI}

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	2026-05-17T23:43:24.040396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf55116f3b02bf0c0ea644b3fdfa7d720ab66d8f2c69e497c3aea0f8f98527c1

Aliases

arxiv: 1606.04134 · arxiv_version: 1606.04134v6 · doi: 10.48550/arxiv.1606.04134 · pith_short_12: Z5KRC3Z3AK7Q · pith_short_16: Z5KRC3Z3AK7QYDVG · pith_short_8: Z5KRC3Z3

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/Z5KRC3Z3AK7QYDVGISZ736T5OI \
  | 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: cf55116f3b02bf0c0ea644b3fdfa7d720ab66d8f2c69e497c3aea0f8f98527c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94ed09f14b673bcd772b88c00c79275ad187ca454ca54793af362e14808e2eb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-06-13T20:58:48Z",
    "title_canon_sha256": "9ebc1c34793a60f9cec5c58b98a8a6a25b4b294c2e548c18f80bf9ab6eb084fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04134",
    "kind": "arxiv",
    "version": 6
  }
}