Pith Number

pith:LQPURJCQ

pith:2021:LQPURJCQSROVFG2WDOA4GINFUJ

not attested not anchored not stored refs pending

A Topological Proof of Sklar's Theorem in Arbitrary Dimensions

Dennis Schroers, Fred Espen Benth, Giulia Di Nunno

arxiv:2101.08598 v1 · 2021-01-21 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LQPURJCQSROVFG2WDOA4GINFUJ}

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	2026-07-05T02:08:37.031570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c1f48a450945d529b561b81c321a5a26ab02ebca3e9cda08463470c62ba5796

Aliases

arxiv: 2101.08598 · arxiv_version: 2101.08598v1 · doi: 10.48550/arxiv.2101.08598 · pith_short_12: LQPURJCQSROV · pith_short_16: LQPURJCQSROVFG2W · pith_short_8: LQPURJCQ

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/LQPURJCQSROVFG2WDOA4GINFUJ \
  | 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: 5c1f48a450945d529b561b81c321a5a26ab02ebca3e9cda08463470c62ba5796

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0117a2f186795a2be5c13ff8b230e8b3b3439fb408e9bc996bc5f7f0b5ff9c1c",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-01-21T13:37:00Z",
    "title_canon_sha256": "10c1faeaefc02cf9c34fdb5390a429aaf21125d4b83584269465ff761fe1e7d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.08598",
    "kind": "arxiv",
    "version": 1
  }
}