Pith Number

pith:2TA5EU5A

pith:2025:2TA5EU5AOW2Y76CXH67Q3AWMMD

not attested not anchored not stored refs pending

Heterogeneous Causal Learning for Optimizing Aggregated Functions in User Growth

Jennifer Zhang, Shuyang Du, Will Y. Zou

arxiv:2507.05510 v1 · 2025-07-07 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TA5EU5AOW2Y76CXH67Q3AWMMD}

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	2026-07-05T11:33:31.581213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4c1d253a075b58ff8573fbf0d82cc60ff4532a4699af3267de6507746117626

Aliases

arxiv: 2507.05510 · arxiv_version: 2507.05510v1 · doi: 10.48550/arxiv.2507.05510 · pith_short_12: 2TA5EU5AOW2Y · pith_short_16: 2TA5EU5AOW2Y76CX · pith_short_8: 2TA5EU5A

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/2TA5EU5AOW2Y76CXH67Q3AWMMD \
  | 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: d4c1d253a075b58ff8573fbf0d82cc60ff4532a4699af3267de6507746117626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f81eb4fc38f8e98bcc165273f4ffb3ee11e9f0f5a532d0aa513c5ec63a15e72b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-07T22:08:45Z",
    "title_canon_sha256": "6c25440a7918f8bf2a0b9929e942cf2b52d7198b5b7ef5c93381ef24210e8ffd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05510",
    "kind": "arxiv",
    "version": 1
  }
}