Pith Number

pith:PB2RAE3V

pith:2016:PB2RAE3VCOTCZ2G7KT4TG5MFO5

not attested not anchored not stored refs pending

Computational Complexity of Testing Proportional Justified Representation

Haris Aziz, Shenwei Huang

arxiv:1612.06476 v2 · 2016-12-20 · cs.GT · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PB2RAE3VCOTCZ2G7KT4TG5MFO5}

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	2026-05-18T00:48:05.134788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

787510137513a62ce8df54f9337585774964e33cbcca3b5649d3d7e10b0dbf19

Aliases

arxiv: 1612.06476 · arxiv_version: 1612.06476v2 · doi: 10.48550/arxiv.1612.06476 · pith_short_12: PB2RAE3VCOTC · pith_short_16: PB2RAE3VCOTCZ2G7 · pith_short_8: PB2RAE3V

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/PB2RAE3VCOTCZ2G7KT4TG5MFO5 \
  | 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: 787510137513a62ce8df54f9337585774964e33cbcca3b5649d3d7e10b0dbf19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "830d020f6d91a57990ab8251d2b15e31f22a32284fd9afaabd1471ada554ed2d",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-12-20T01:23:18Z",
    "title_canon_sha256": "364cd475759877ecc559e46def2729acadfd42e2b1f799749bc4ca60e7eee94f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06476",
    "kind": "arxiv",
    "version": 2
  }
}