Pith Number

pith:MBTUBQXY

pith:2026:MBTUBQXYHR7QVOQAAQOXBZI72N

not attested not anchored not stored refs pending

Proximal Identification and Estimation in Front-Door Causal Structures with Unobserved Confounding of the Mediator

Beatrix Yaxin Wen, Helen Guo, Ilya Shpitser

arxiv:2607.10515 v1 · 2026-07-12 · 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{MBTUBQXYHR7QVOQAAQOXBZI72N}

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	2026-07-14T01:21:19.083812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

606740c2f83c7f0aba00041d70e51fd36a48bd5c018a58a5e60356b5683369ef

Aliases

arxiv: 2607.10515 · arxiv_version: 2607.10515v1 · doi: 10.48550/arxiv.2607.10515 · pith_short_12: MBTUBQXYHR7Q · pith_short_16: MBTUBQXYHR7QVOQA · pith_short_8: MBTUBQXY

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/MBTUBQXYHR7QVOQAAQOXBZI72N \
  | 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: 606740c2f83c7f0aba00041d70e51fd36a48bd5c018a58a5e60356b5683369ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "205cfe7d85dee8d53578e0865320db579496d0b7a40bd1cffce545c277187412",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-12T00:15:26Z",
    "title_canon_sha256": "a215c6c14bbcbac52b1a764ce76d2ddafdf5d8c5462071ba87113833eb28d3b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10515",
    "kind": "arxiv",
    "version": 1
  }
}