Pith Number

pith:3RL4HLMN

pith:2026:3RL4HLMNJDPK6CXRS32HS6SSYC

not attested not anchored not stored refs pending

Branch and Bound for Relational Verification of Neural Networks

Guanqin Zhang, Jianjun Zhao, Kota Fukuda, Zhenya Zhang

arxiv:2608.13118 v1 · 2026-08-13 · 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{3RL4HLMNJDPK6CXRS32HS6SSYC}

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	2026-08-14T01:00:25.101485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc57c3ad8d48deaf0af196f4797a52c0b8d3194ff8a92cb4a371c49be0e23d6e

Aliases

arxiv: 2608.13118 · arxiv_version: 2608.13118v1 · doi: 10.48550/arxiv.2608.13118 · pith_short_12: 3RL4HLMNJDPK · pith_short_16: 3RL4HLMNJDPK6CXR · pith_short_8: 3RL4HLMN

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/3RL4HLMNJDPK6CXRS32HS6SSYC \
  | 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: dc57c3ad8d48deaf0af196f4797a52c0b8d3194ff8a92cb4a371c49be0e23d6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "700ff13516acaf5e11766b664e63809dc6bedb6e1808ef864cbd006247414758",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-13T11:47:46Z",
    "title_canon_sha256": "5ab3313433fcc2914d88d7c0237c0fef341e4e9f84c8d9956a77fbd3aa1c14e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13118",
    "kind": "arxiv",
    "version": 1
  }
}