Pith Number

pith:6OBYHZQH

pith:2011:6OBYHZQHYS3KQTND6WS3IZR7HQ

not attested not anchored not stored refs pending

On possible mixing rates for some strong mixing conditions for N-tuplewise independent random fields

Richard C. Bradley

arxiv:1107.3854 v1 · 2011-07-19 · 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{6OBYHZQHYS3KQTND6WS3IZR7HQ}

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	2026-05-18T04:17:14.536599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f38383e607c4b6a84da3f5a5b4663f3c102df7292e44d35f40796203bd3eeb8c

Aliases

arxiv: 1107.3854 · arxiv_version: 1107.3854v1 · doi: 10.48550/arxiv.1107.3854 · pith_short_12: 6OBYHZQHYS3K · pith_short_16: 6OBYHZQHYS3KQTND · pith_short_8: 6OBYHZQH

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/6OBYHZQHYS3KQTND6WS3IZR7HQ \
  | 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: f38383e607c4b6a84da3f5a5b4663f3c102df7292e44d35f40796203bd3eeb8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9589aa16f580b447bf42b2e6033a224334c166ba7c7c4f4ac7ee848858e0a4cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-19T21:29:32Z",
    "title_canon_sha256": "43753cd41fdc79dcdd8c8f9eb77e149d639fb3081ce2c0dd205bbf76575eae0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3854",
    "kind": "arxiv",
    "version": 1
  }
}