Pith Number

pith:6TZ5WUAU

pith:2010:6TZ5WUAULRFA7FSIGYOJXFBGQG

not attested not anchored not stored refs pending

Empirical Processes of Multidimensional Systems with Multiple Mixing Properties

Herold Dehling, Olivier Durieu

arxiv:1004.1088 v2 · 2010-04-07 · math.PR · 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{6TZ5WUAULRFA7FSIGYOJXFBGQG}

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	2026-05-18T04:30:36.803707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4f3db50145c4a0f9648361c9b94268194f1a0747a04006dfeb9de8e32e312fe

Aliases

arxiv: 1004.1088 · arxiv_version: 1004.1088v2 · doi: 10.48550/arxiv.1004.1088 · pith_short_12: 6TZ5WUAULRFA · pith_short_16: 6TZ5WUAULRFA7FSI · pith_short_8: 6TZ5WUAU

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/6TZ5WUAULRFA7FSIGYOJXFBGQG \
  | 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: f4f3db50145c4a0f9648361c9b94268194f1a0747a04006dfeb9de8e32e312fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98c8645c66d7ba7c47d974776192c97de4e59ec74f20c0b3fc4da5a9f637ebf8",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-07T13:39:27Z",
    "title_canon_sha256": "836ed7f1cc93c112897e4d9842c1310d17197c8c61cd914e3ad660af274f606c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1088",
    "kind": "arxiv",
    "version": 2
  }
}