Pith Number

pith:PCRWZXZD

pith:2022:PCRWZXZD6BEDYGMBVSMMF7MDCS

not attested not anchored not stored refs pending

A Query-Optimal Algorithm for Finding Counterfactuals

Caleb Koch, Guy Blanc, Jane Lange, Li-Yang Tan

arxiv:2207.07072 v1 · 2022-07-14 · cs.DS · 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{PCRWZXZD6BEDYGMBVSMMF7MDCS}

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	2026-07-05T04:40:20.745060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a36cdf23f0483c1981ac98c2fd8314941c84d8bacadbd6a1cc14e76a5ca290

Aliases

arxiv: 2207.07072 · arxiv_version: 2207.07072v1 · doi: 10.48550/arxiv.2207.07072 · pith_short_12: PCRWZXZD6BED · pith_short_16: PCRWZXZD6BEDYGMB · pith_short_8: PCRWZXZD

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/PCRWZXZD6BEDYGMBVSMMF7MDCS \
  | 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: 78a36cdf23f0483c1981ac98c2fd8314941c84d8bacadbd6a1cc14e76a5ca290

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "199216ac6719d264cd288a10ed6a8ea55d8d796714b25c41bae2dfde190e969c",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2022-07-14T17:21:13Z",
    "title_canon_sha256": "29f89747f62b68fec366e30d7883480f762d71a490ec6144f0b17fd61adc1706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.07072",
    "kind": "arxiv",
    "version": 1
  }
}