Pith Number

pith:EFXA4NY5

pith:2015:EFXA4NY52AE4X45CTNN7OMJS4P

not attested not anchored not stored refs pending

Complexity of Manipulative Actions When Voting with Ties

Edith Hemaspaandra, Zack Fitzsimmons

arxiv:1506.04722 v1 · 2015-06-15 · cs.GT · cs.CC · cs.MA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFXA4NY52AE4X45CTNN7OMJS4P}

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	2026-05-18T01:49:25.073562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

216e0e371dd009cbf3a29b5bf73132e3d612aaf9a9b44f4006d173a4a0cf1bae

Aliases

arxiv: 1506.04722 · arxiv_version: 1506.04722v1 · doi: 10.48550/arxiv.1506.04722 · pith_short_12: EFXA4NY52AE4 · pith_short_16: EFXA4NY52AE4X45C · pith_short_8: EFXA4NY5

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/EFXA4NY52AE4X45CTNN7OMJS4P \
  | 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: 216e0e371dd009cbf3a29b5bf73132e3d612aaf9a9b44f4006d173a4a0cf1bae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cec27a14cde527f9574a98de73d55cbc8c97f36f2a3e179685a6575a33453953",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.MA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-06-15T19:37:46Z",
    "title_canon_sha256": "bbcc88a63f419c73468a22a451e3400007338d15fd3f55f01ba1578ff961bfa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04722",
    "kind": "arxiv",
    "version": 1
  }
}