Pith Number

pith:KMBSW2GG

pith:2026:KMBSW2GGFAHCB5MSYMCCXIZXH3

not attested not anchored not stored refs pending

Advancing Optimal Subset Oracle via Learning Relaxation of Neural Set Functions

Shiping Wang, Yatao Bian, Yongquan Shi, Zijing Ou

arxiv:2607.11555 v1 · 2026-07-13 · 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{KMBSW2GGFAHCB5MSYMCCXIZXH3}

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	2026-07-14T02:22:10.816234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53032b68c6280e20f592c3042ba3373ec382565f31810b65f3967d24ddea80d3

Aliases

arxiv: 2607.11555 · arxiv_version: 2607.11555v1 · doi: 10.48550/arxiv.2607.11555 · pith_short_12: KMBSW2GGFAHC · pith_short_16: KMBSW2GGFAHCB5MS · pith_short_8: KMBSW2GG

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/KMBSW2GGFAHCB5MSYMCCXIZXH3 \
  | 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: 53032b68c6280e20f592c3042ba3373ec382565f31810b65f3967d24ddea80d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ab8eb9711c1388ff9858e00bf798b7d0c758af063b1724edda2bbe678b27e11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-13T13:37:47Z",
    "title_canon_sha256": "16d6cd467b52c72b310f1d36ec57e3711ce1cd508fca2bef91f73f644cdd27d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11555",
    "kind": "arxiv",
    "version": 1
  }
}