Pith Number

pith:YRWAFWDK

pith:2026:YRWAFWDKR4AKVF23Z7WHWDAE7G

not attested not anchored not stored refs pending

Classification aggregation: a quantitative impossibility theorem

Yuval Filmus

arxiv:2605.17136 v1 · 2026-05-16 · cs.GT · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YRWAFWDKR4AKVF23Z7WHWDAE7G}

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	2026-05-20T00:03:41.638374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c46c02d86a8f00aa975bcfec7b0c04f99917282e12126d45a721551fe54905d8

Aliases

arxiv: 2605.17136 · arxiv_version: 2605.17136v1 · doi: 10.48550/arxiv.2605.17136 · pith_short_12: YRWAFWDKR4AK · pith_short_16: YRWAFWDKR4AKVF23 · pith_short_8: YRWAFWDK

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/YRWAFWDKR4AKVF23Z7WHWDAE7G \
  | 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: c46c02d86a8f00aa975bcfec7b0c04f99917282e12126d45a721551fe54905d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b9d873feeee4d5a1f59075e7b784b1f3040b0c1d4ca53733c2d3490403f13a9",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-05-16T19:59:33Z",
    "title_canon_sha256": "4b31fa2e1bfada776a37b4b6a968246bbf2dd4cd26462be0dde63290a983f6b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17136",
    "kind": "arxiv",
    "version": 1
  }
}