Pith Number

pith:ZNJ7POX7

pith:2026:ZNJ7POX7DNM6WMJVJIHEXGY5GN

not attested not anchored not stored refs pending

Spatial Dependence in the Self-Response: Spatial Dependence, Modeling, and Operational Consequences

Emanuel Ben-David

arxiv:2606.30816 v1 · 2026-06-29 · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNJ7POX7DNM6WMJVJIHEXGY5GN}

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	2026-07-01T00:17:18.361574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb53f7baff1b59eb31354a0e4b9b1d335aa326b2abc926b9bc709e4ee5547b84

Aliases

arxiv: 2606.30816 · arxiv_version: 2606.30816v1 · doi: 10.48550/arxiv.2606.30816 · pith_short_12: ZNJ7POX7DNM6 · pith_short_16: ZNJ7POX7DNM6WMJV · pith_short_8: ZNJ7POX7

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/ZNJ7POX7DNM6WMJVJIHEXGY5GN \
  | 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: cb53f7baff1b59eb31354a0e4b9b1d335aa326b2abc926b9bc709e4ee5547b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08fbe5e56ad3eda13b4b6dc672811ae44d961296b08ff333b4bf5c368c324b30",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2026-06-29T18:42:40Z",
    "title_canon_sha256": "a3f0d1fbeb65d855fd685f60469f106fd8545128e462a4a25d2684b39d4ca9aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30816",
    "kind": "arxiv",
    "version": 1
  }
}