Pith Number

pith:PJ25UWSZ

pith:2026:PJ25UWSZMYAGE3VU4YC4PREKLR

not attested not anchored not stored refs pending

Rank-Based Estimation of U-Shaped Biomarker Risk Curves and Critical Points for Time-to-Event Outcomes

Mei-Cheng Wang, Yu Du, Yuxin Zhu, Zhirui Fu

arxiv:2607.19280 v1 · 2026-07-21 · 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{PJ25UWSZMYAGE3VU4YC4PREKLR}

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	2026-07-22T01:24:17.999003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a75da5a596600626eb4e605c7c48a5c510f32a94abd13e1976af375f646660d

Aliases

arxiv: 2607.19280 · arxiv_version: 2607.19280v1 · doi: 10.48550/arxiv.2607.19280 · pith_short_12: PJ25UWSZMYAG · pith_short_16: PJ25UWSZMYAGE3VU · pith_short_8: PJ25UWSZ

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/PJ25UWSZMYAGE3VU4YC4PREKLR \
  | 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: 7a75da5a596600626eb4e605c7c48a5c510f32a94abd13e1976af375f646660d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab09f6f502dbcd28f3012e51e1f425788c1f222237a9d6a335ea040d7d48705c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-21T16:51:01Z",
    "title_canon_sha256": "4de64e34541354d81dbe9cdeceb24139d0d876e1961b4754aa2b568337be2de0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19280",
    "kind": "arxiv",
    "version": 1
  }
}