Pith Number

pith:6J6RCS6M

pith:2024:6J6RCS6MXFGREHWJNJIZYCS3WO

not attested not anchored not stored refs pending

Bridging multiple worlds: multi-marginal optimal transport for causal partial-identification problem

Jian Qian, Shu Ge, Zijun Gao

arxiv:2406.07868 v2 · 2024-06-12 · 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{6J6RCS6MXFGREHWJNJIZYCS3WO}

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.

Cited by

1 paper in Pith

Partial Identification under High-Dimensional Potential Outcomes and Confounders via Optimal Transport

Receipt and verification

First computed	2026-07-05T09:06:42.154996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f27d114bccb94d121ec96a519c0a5bb3ae574596ccb172da3d6b80d3da6bdabf

Aliases

arxiv: 2406.07868 · arxiv_version: 2406.07868v2 · doi: 10.48550/arxiv.2406.07868 · pith_short_12: 6J6RCS6MXFGR · pith_short_16: 6J6RCS6MXFGREHWJ · pith_short_8: 6J6RCS6M

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/6J6RCS6MXFGREHWJNJIZYCS3WO \
  | 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: f27d114bccb94d121ec96a519c0a5bb3ae574596ccb172da3d6b80d3da6bdabf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "014e525ea3339c455873afd8db493d3620ba8d21cd04d8571170ac923e7bfddc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2024-06-12T04:49:11Z",
    "title_canon_sha256": "44616f2a4f95aea843c9ee2f1f8ce7bfedfa9d2f194b4dd0910fa88dbdf00b5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.07868",
    "kind": "arxiv",
    "version": 2
  }
}