Pith Number

pith:4CV6GZ3L

pith:2025:4CV6GZ3LYGSKSA5ZA75JLD7V56

not attested not anchored not stored refs pending

A Relaxation Approach to Synthetic Control

Chengwang Liao, Yapeng Zheng, Zhentao Shi

arxiv:2508.01793 v2 · 2025-08-03 · econ.EM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CV6GZ3LYGSKSA5ZA75JLD7V56}

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	2026-05-20T00:04:12.241398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0abe3676bc1a4a903b907fa958ff5efb859f66777c3bdbc14629a54c34fc9a4

Aliases

arxiv: 2508.01793 · arxiv_version: 2508.01793v2 · doi: 10.48550/arxiv.2508.01793 · pith_short_12: 4CV6GZ3LYGSK · pith_short_16: 4CV6GZ3LYGSKSA5Z · pith_short_8: 4CV6GZ3L

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/4CV6GZ3LYGSKSA5ZA75JLD7V56 \
  | 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: e0abe3676bc1a4a903b907fa958ff5efb859f66777c3bdbc14629a54c34fc9a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e871d4fcb88892751482ff8e82e8d544c785ace09ae759ba872feb44458e23f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2025-08-03T15:06:06Z",
    "title_canon_sha256": "100c320b65855bbba7e08565091a8474735993c647e54ab9b752ab5182d298f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.01793",
    "kind": "arxiv",
    "version": 2
  }
}