Pith Number

pith:UJMYBB64

pith:2026:UJMYBB644DEPTC4K4X37CMULAQ

not attested not anchored not stored refs pending

Discovering Multiscale Deep Formulas in Complex Systems via Neural-Guided Lambda Calculus

Cong Zhao, Hanqiao Yu, Shusen Yang, Xuebin Ren

arxiv:2606.07426 v1 · 2026-06-05 · 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{UJMYBB644DEPTC4K4X37CMULAQ}

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	2026-06-08T01:05:26.452559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2598087dce0c8f98b8ae5f7f1328b0405d9e5e69bdde3c6dde1d2703e6d70c7

Aliases

arxiv: 2606.07426 · arxiv_version: 2606.07426v1 · doi: 10.48550/arxiv.2606.07426 · pith_short_12: UJMYBB644DEP · pith_short_16: UJMYBB644DEPTC4K · pith_short_8: UJMYBB64

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/UJMYBB644DEPTC4K4X37CMULAQ \
  | 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: a2598087dce0c8f98b8ae5f7f1328b0405d9e5e69bdde3c6dde1d2703e6d70c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33f2812cba2119cca9d4b8aa1d75f245a899ea6366f07e9991638207ac08148f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-05T16:21:12Z",
    "title_canon_sha256": "ee2d2a7201ad908d8e21003c17608c0abdbd8035631b4896ba87198afc72cacb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07426",
    "kind": "arxiv",
    "version": 1
  }
}