Pith Number

pith:RD7BMZBA

pith:2025:RD7BMZBAVSBDN3QWDYHPHSOPML

not attested not anchored not stored refs pending

Tightening Causal Bounds via Covariate-Aware Optimal Transport

Jose Blanchet, Peter Glynn, Sirui Lin, Zijun Gao

arxiv:2502.01164 v2 · 2025-02-03 · 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{RD7BMZBAVSBDN3QWDYHPHSOPML}

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	2026-07-05T11:12:25.206413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88fe166420ac8236ee161e0ef3c9cf62cdbcbc552a519811b10441951c1b9668

Aliases

arxiv: 2502.01164 · arxiv_version: 2502.01164v2 · doi: 10.48550/arxiv.2502.01164 · pith_short_12: RD7BMZBAVSBD · pith_short_16: RD7BMZBAVSBDN3QW · pith_short_8: RD7BMZBA

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/RD7BMZBAVSBDN3QWDYHPHSOPML \
  | 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: 88fe166420ac8236ee161e0ef3c9cf62cdbcbc552a519811b10441951c1b9668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dac2646cf9b11feac19de3e369517af679c9ee0b243b9bd45e58099b65c59c3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-02-03T08:53:12Z",
    "title_canon_sha256": "a763dce2b37e081e404c0665553f691d302df2ef3b5b0274b08108d74bff5eea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.01164",
    "kind": "arxiv",
    "version": 2
  }
}