Pith Number

pith:PRHMBWW6

pith:2026:PRHMBWW6MQRIFC2HWQIHC4FRU4

not attested not anchored not stored refs pending

Generalized Spectral Testing with Sample Splitting

Feiyu Jiang, Xiaofeng Shao, Yuxin Tao

arxiv:2605.29315 v1 · 2026-05-28 · econ.EM · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRHMBWW6MQRIFC2HWQIHC4FRU4}

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	2026-05-29T01:05:32.188781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c4ec0dade6422828b47b4107170b1a7024c227e44f67f290756916d2ee320ea

Aliases

arxiv: 2605.29315 · arxiv_version: 2605.29315v1 · doi: 10.48550/arxiv.2605.29315 · pith_short_12: PRHMBWW6MQRI · pith_short_16: PRHMBWW6MQRIFC2H · pith_short_8: PRHMBWW6

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/PRHMBWW6MQRIFC2HWQIHC4FRU4 \
  | 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: 7c4ec0dade6422828b47b4107170b1a7024c227e44f67f290756916d2ee320ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e55f8afc7bcd81d93c5b8d5c00985ced8774bcedb7194692888f3225560d3b61",
    "cross_cats_sorted": [
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2026-05-28T03:45:18Z",
    "title_canon_sha256": "4317c6f7d7028ec16d7cd83c5556564c8272631dbfa0446fd0d7d2ea00fcb5b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29315",
    "kind": "arxiv",
    "version": 1
  }
}