Pith Number

pith:S37BPRWX

pith:2022:S37BPRWXITSBF5RF44VZQE2MD4

not attested not anchored not stored refs pending

On Optimizing Back-Substitution Methods for Neural Network Verification

Clark Barrett, Guy Katz, Haoze Wu, Tom Zelazny

arxiv:2208.07669 v1 · 2022-08-16 · cs.LG · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S37BPRWXITSBF5RF44VZQE2MD4}

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	2026-07-05T04:49:07.636769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96fe17c6d744e412f625e72b98134c1f38afc9faa4b87f401439cc156886d262

Aliases

arxiv: 2208.07669 · arxiv_version: 2208.07669v1 · doi: 10.48550/arxiv.2208.07669 · pith_short_12: S37BPRWXITSB · pith_short_16: S37BPRWXITSBF5RF · pith_short_8: S37BPRWX

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/S37BPRWXITSBF5RF44VZQE2MD4 \
  | 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: 96fe17c6d744e412f625e72b98134c1f38afc9faa4b87f401439cc156886d262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69f97275230490d14c9cba1bf5f5466c522a8469b57aeafe9b2725951ba0717b",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-08-16T11:16:44Z",
    "title_canon_sha256": "d996e53598e0d7a4c45a1cec23bd0f84a2da450410079331d7d5d1f662160943"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.07669",
    "kind": "arxiv",
    "version": 1
  }
}