Pith Number

pith:TJEB3LJ2

pith:2021:TJEB3LJ2F4TBHXE5UNJBH3LEI7

not attested not anchored not stored refs pending

The Complexity of Learning Approval-Based Multiwinner Voting Rules

Ioannis Caragiannis, Karl Fehrs

arxiv:2110.00254 v3 · 2021-10-01 · cs.GT · cs.CC · 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{TJEB3LJ2F4TBHXE5UNJBH3LEI7}

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	2026-07-05T06:36:09.983867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a481dad3a2f2613dc9da35213ed6447c8d0085322b4c59a0983d88f22ec1e9d

Aliases

arxiv: 2110.00254 · arxiv_version: 2110.00254v3 · doi: 10.48550/arxiv.2110.00254 · pith_short_12: TJEB3LJ2F4TB · pith_short_16: TJEB3LJ2F4TBHXE5 · pith_short_8: TJEB3LJ2

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/TJEB3LJ2F4TBHXE5UNJBH3LEI7 \
  | 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: 9a481dad3a2f2613dc9da35213ed6447c8d0085322b4c59a0983d88f22ec1e9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0678e079c5bd34a3074d898a12d9fba649272e1050da32355904761a52379221",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2021-10-01T08:25:05Z",
    "title_canon_sha256": "f6057dc53828ab4ca11152f00e8e6b321e665b942eb03d816bb1c599b49de056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.00254",
    "kind": "arxiv",
    "version": 3
  }
}