Pith Number

pith:HHVKQXFI

pith:2018:HHVKQXFIOAFBK4BKZXIYMH6K3E

not attested not anchored not stored refs pending

A note on limit results for the Penrose-Banzhaf index

Sascha Kurz

arxiv:1808.03197 v1 · 2018-08-09 · 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{HHVKQXFIOAFBK4BKZXIYMH6K3E}

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	2026-07-05T00:13:36.852256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39eaa85ca8700a15702acdd1861fcad9364ca490c974eb6cfda42ea5e439788c

Aliases

arxiv: 1808.03197 · arxiv_version: 1808.03197v1 · doi: 10.48550/arxiv.1808.03197 · pith_short_12: HHVKQXFIOAFB · pith_short_16: HHVKQXFIOAFBK4BK · pith_short_8: HHVKQXFI

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/HHVKQXFIOAFBK4BKZXIYMH6K3E \
  | 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: 39eaa85ca8700a15702acdd1861fcad9364ca490c974eb6cfda42ea5e439788c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5338ef0ab9892f8c0977eb6579eb3a912e43f6eafafcd60b57c5053cacc5e090",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2018-08-09T15:30:23Z",
    "title_canon_sha256": "ab3c5d4f16562bfa456992dd5e7f620204c8a7ee8c31c0fba6696e91087fe8ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03197",
    "kind": "arxiv",
    "version": 1
  }
}