Pith Number

pith:YWVPFWFA

pith:2017:YWVPFWFA2SXPF3YDR762J5JP6Y

not attested not anchored not stored refs pending

An impossibility theorem for gerrymandering

Boris Alexeev, Dustin G. Mixon

arxiv:1710.04193 v2 · 2017-10-11 · math.CO · math.MG · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWVPFWFA2SXPF3YDR762J5JP6Y}

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	2026-05-18T00:31:58.593389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5aaf2d8a0d4aef2ef038ffda4f52ff63df54124637ebd80ac979f7280748452

Aliases

arxiv: 1710.04193 · arxiv_version: 1710.04193v2 · doi: 10.48550/arxiv.1710.04193 · pith_short_12: YWVPFWFA2SXP · pith_short_16: YWVPFWFA2SXPF3YD · pith_short_8: YWVPFWFA

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/YWVPFWFA2SXPF3YDR762J5JP6Y \
  | 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: c5aaf2d8a0d4aef2ef038ffda4f52ff63df54124637ebd80ac979f7280748452

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17a39d5c048688cf6503b0511c4ab1ec6ebddb721a6fa14345b2d7041b8e6cf3",
    "cross_cats_sorted": [
      "math.MG",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-11T17:37:56Z",
    "title_canon_sha256": "0d50fe8a942605ee12e4cd5a78bf6492fdda78e0490604a7d3627e642b91b1a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04193",
    "kind": "arxiv",
    "version": 2
  }
}