Pith Number

pith:ZM44KIT4

pith:2026:ZM44KIT4PWXLT65ZFBZRIIIJO6

not attested not anchored not stored refs pending

CASP: Learning-Augmented Offline Approximation with Verifiable Certificates and Bounded-Loss PAC Guarantees

Haifeng Li, Mo Hai

arxiv:2607.14545 v1 · 2026-07-16 · 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{ZM44KIT4PWXLT65ZFBZRIIIJO6}

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	2026-07-17T01:21:17.157076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb39c5227c7daeb9fbb92873142109779750f942a1894df8750e1173d9f398a6

Aliases

arxiv: 2607.14545 · arxiv_version: 2607.14545v1 · doi: 10.48550/arxiv.2607.14545 · pith_short_12: ZM44KIT4PWXL · pith_short_16: ZM44KIT4PWXLT65Z · pith_short_8: ZM44KIT4

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/ZM44KIT4PWXLT65ZFBZRIIIJO6 \
  | 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: cb39c5227c7daeb9fbb92873142109779750f942a1894df8750e1173d9f398a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e642b13dedac8e5fa3ccb43886c073d55a1520ce107bcc1034ca7a7ce58f738e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-16T04:02:15Z",
    "title_canon_sha256": "a900d7fc3770f7909ce73dbd5c0931200391744a19531b84abab8ca9d719cada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14545",
    "kind": "arxiv",
    "version": 1
  }
}