Pith Number

pith:A5GU4QJO

pith:2026:A5GU4QJOJFLE4GKXZQQIWUBHLX

not attested not anchored not stored refs pending

Two Black Boxes, One Solver: Encoder Probing and Decoder Attribution for Neural Multi-Attribute VRP under Hard-Mask and Recourse Decoders

Sohaib Afifi

arxiv:2607.04487 v1 · 2026-07-05 · 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{A5GU4QJOJFLE4GKXZQQIWUBHLX}

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	2026-07-07T02:19:21.738617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

074d4e412e49564e1957cc208b50275dfc390f83f44ab19a75cf3938eecf03da

Aliases

arxiv: 2607.04487 · arxiv_version: 2607.04487v1 · doi: 10.48550/arxiv.2607.04487 · pith_short_12: A5GU4QJOJFLE · pith_short_16: A5GU4QJOJFLE4GKX · pith_short_8: A5GU4QJO

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/A5GU4QJOJFLE4GKXZQQIWUBHLX \
  | 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: 074d4e412e49564e1957cc208b50275dfc390f83f44ab19a75cf3938eecf03da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ea6ad33fb4ae31511896ba5f8157489c1bf775cd7dad1bebe5f1f62ea005399",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-05T20:19:09Z",
    "title_canon_sha256": "74b76169d8fb086dd3283adb56e825626661220fc989872c4739329a59b9bba9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04487",
    "kind": "arxiv",
    "version": 1
  }
}