Pith Number

pith:ELJH3JGK

pith:2011:ELJH3JGKS5BHRN5UYBI3S2IAAA

not attested not anchored not stored refs pending

A geometric and combinatorial view of weighted voting

Jason Parsley, Sarah Mason

arxiv:1109.1082 v2 · 2011-09-06 · math.CO · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELJH3JGKS5BHRN5UYBI3S2IAAA}

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	2026-05-18T01:12:25.443590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22d27da4ca974278b7b4c051b96900002483da2ddf27b765d6eb76de09ecf72e

Aliases

arxiv: 1109.1082 · arxiv_version: 1109.1082v2 · doi: 10.48550/arxiv.1109.1082 · pith_short_12: ELJH3JGKS5BH · pith_short_16: ELJH3JGKS5BHRN5U · pith_short_8: ELJH3JGK

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/ELJH3JGKS5BHRN5UYBI3S2IAAA \
  | 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: 22d27da4ca974278b7b4c051b96900002483da2ddf27b765d6eb76de09ecf72e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89f4a95ba7036ddca921f6d7cb47188ecb9512574785c348df4e01f5205e2418",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-06T06:28:25Z",
    "title_canon_sha256": "ee6c9d29f44a3896965b9dd7052a2cc588f338b3676effe384483c491f5c9f09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1082",
    "kind": "arxiv",
    "version": 2
  }
}