Pith Number

pith:4AQLV42Q

pith:2016:4AQLV42QZNYSUSQCWOZUDDBS5E

not attested not anchored not stored refs pending

On packing dimension preservation by distribution functions of random variables with independent $\tilde{Q}$-digits

Oleksandr Slutskyi

arxiv:1601.01135 v1 · 2016-01-06 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AQLV42QZNYSUSQCWOZUDDBS5E}

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	2026-05-18T01:23:17.789941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e020baf350cb712a4a02b3b3418c32e92d827183b0cfa82aaaa84161464a8049

Aliases

arxiv: 1601.01135 · arxiv_version: 1601.01135v1 · doi: 10.48550/arxiv.1601.01135 · pith_short_12: 4AQLV42QZNYS · pith_short_16: 4AQLV42QZNYSUSQC · pith_short_8: 4AQLV42Q

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/4AQLV42QZNYSUSQCWOZUDDBS5E \
  | 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: e020baf350cb712a4a02b3b3418c32e92d827183b0cfa82aaaa84161464a8049

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85faf7e9c7d54bb967dad1bac580b01172d9a0cd49750b6b1e8d01bba770e3f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-06T10:54:19Z",
    "title_canon_sha256": "d414f358c51f5e72513b2ea899147c7465e529ef4250a6169e91fa6053f85bfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01135",
    "kind": "arxiv",
    "version": 1
  }
}