Pith Number

pith:2QLCX6AI

pith:2022:2QLCX6AIVEA4GB4B3NXFBLV4ET

not attested not anchored not stored refs pending

Betty: An Automatic Differentiation Library for Multilevel Optimization

Eric Xing, Pengtao Xie, Sang Keun Choe, Willie Neiswanger

arxiv:2207.02849 v2 · 2022-07-05 · cs.LG · cs.AI · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2QLCX6AIVEA4GB4B3NXFBLV4ET}

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

CHAL: Council of Hierarchical Agentic Language

Receipt and verification

First computed	2026-07-05T05:51:26.201584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4162bf808a901c30781db6e50aebc24ece74b197a6683cb2482027564891080

Aliases

arxiv: 2207.02849 · arxiv_version: 2207.02849v2 · doi: 10.48550/arxiv.2207.02849 · pith_short_12: 2QLCX6AIVEA4 · pith_short_16: 2QLCX6AIVEA4GB4B · pith_short_8: 2QLCX6AI

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/2QLCX6AIVEA4GB4B3NXFBLV4ET \
  | 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: d4162bf808a901c30781db6e50aebc24ece74b197a6683cb2482027564891080

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66196f8bc738150670da58a0e2e067bfb63dccf38f637163ce90f8ac348a771a",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-07-05T14:01:15Z",
    "title_canon_sha256": "3d40c66c225d94805abbfa6d0a98e7345f9a0c1a6266d63499e8b9ef026db14c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.02849",
    "kind": "arxiv",
    "version": 2
  }
}