Pith Number

pith:Q4VZ6GSD

pith:2022:Q4VZ6GSDLMWJZCKM54BC4DT4TV

not attested not anchored not stored refs pending

Identifying Substitute and Complementary Products for Assortment Optimization with Cleora Embeddings

Anna Wr\'oblewska, Jacek D\k{a}browski, Sergiy Tkachuk, Szymon {\L}ukasik

arxiv:2208.06262 v1 · 2022-08-10 · cs.IR · 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{Q4VZ6GSDLMWJZCKM54BC4DT4TV}

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	2026-07-05T05:18:48.529142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

872b9f1a435b2c9c894cef022e0e7c9d48cdbfd82e30e3d5ffd740e5f2d203a8

Aliases

arxiv: 2208.06262 · arxiv_version: 2208.06262v1 · doi: 10.48550/arxiv.2208.06262 · pith_short_12: Q4VZ6GSDLMWJ · pith_short_16: Q4VZ6GSDLMWJZCKM · pith_short_8: Q4VZ6GSD

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/Q4VZ6GSDLMWJZCKM54BC4DT4TV \
  | 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: 872b9f1a435b2c9c894cef022e0e7c9d48cdbfd82e30e3d5ffd740e5f2d203a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91ecd322f307b2c1d67913a57301fd6c17375623630823d0720ec3d1ca481597",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IR",
    "submitted_at": "2022-08-10T11:56:36Z",
    "title_canon_sha256": "053164f6ea037847bed3d5d3369181e72cff6df55ed831dc6266ca00af716403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.06262",
    "kind": "arxiv",
    "version": 1
  }
}