Pith Number

pith:WEOMLWDB

pith:2026:WEOMLWDBXNJDGWA2KFFGZQ3HIX

not attested not anchored not stored refs pending

Functional dependence and synchronous coupling in ergodic autoregressions

Lionel Truquet, Paul Doukhan

arxiv:2607.08567 v1 · 2026-07-09 · 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{WEOMLWDBXNJDGWA2KFFGZQ3HIX}

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	2026-07-10T01:19:53.818219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b11cc5d861bb5233581a514a6cc36745e44e153c5a26c0ac5188d824d325e19a

Aliases

arxiv: 2607.08567 · arxiv_version: 2607.08567v1 · doi: 10.48550/arxiv.2607.08567 · pith_short_12: WEOMLWDBXNJD · pith_short_16: WEOMLWDBXNJDGWA2 · pith_short_8: WEOMLWDB

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/WEOMLWDBXNJDGWA2KFFGZQ3HIX \
  | 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: b11cc5d861bb5233581a514a6cc36745e44e153c5a26c0ac5188d824d325e19a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3bd1bdf50cc7d34ef4e4ecc4d4285aacdd79db338ebff7477a29c5df5e8f15b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-09T14:56:31Z",
    "title_canon_sha256": "28fc2b9122c4e694b4256ad4ae5a2a55cd2a21ceb8203631e7063b2ce00ead15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08567",
    "kind": "arxiv",
    "version": 1
  }
}