Pith Number

pith:DYZRGBSP

pith:2015:DYZRGBSPEOOYKIKWC6VSILO3CR

not attested not anchored not stored refs pending

Optimal quantization for the Cantor distribution generated by infinite similutudes

Mrinal Kanti Roychowdhury

arxiv:1512.09161 v6 · 2015-12-30 · 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{DYZRGBSPEOOYKIKWC6VSILO3CR}

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	2026-05-18T00:07:55.819051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e3313064f239d85215617ab242ddb145af457250a49788ce7791847270c296f

Aliases

arxiv: 1512.09161 · arxiv_version: 1512.09161v6 · doi: 10.48550/arxiv.1512.09161 · pith_short_12: DYZRGBSPEOOY · pith_short_16: DYZRGBSPEOOYKIKW · pith_short_8: DYZRGBSP

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/DYZRGBSPEOOYKIKWC6VSILO3CR \
  | 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: 1e3313064f239d85215617ab242ddb145af457250a49788ce7791847270c296f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0eaa52ada1d53c3695acb8363b41debe0641ce5969d0f336641a9fcc41ddc2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-30T21:54:58Z",
    "title_canon_sha256": "f8efefef5ea1fde6fe39b1907344d943dfc36abcf7c29bd2e5652ff3f092af2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09161",
    "kind": "arxiv",
    "version": 6
  }
}