Pith Number

pith:LXLVQHMB

pith:2022:LXLVQHMBXVE5NLS7YXOCDTFSB6

not attested not anchored not stored refs pending

Hyperstable Sets with Voting and Algorithmic Hardness Applications

Steven Heilman

arxiv:2209.11216 v1 · 2022-09-22 · math.PR · cs.CC · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LXLVQHMBXVE5NLS7YXOCDTFSB6}

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	2026-07-05T05:00:11.850526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dd7581d81bd49d6ae5fc5dc21ccb20fb24db893d8f348619ffdeb1d8e94ca2a

Aliases

arxiv: 2209.11216 · arxiv_version: 2209.11216v1 · doi: 10.48550/arxiv.2209.11216 · pith_short_12: LXLVQHMBXVE5 · pith_short_16: LXLVQHMBXVE5NLS7 · pith_short_8: LXLVQHMB

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/LXLVQHMBXVE5NLS7YXOCDTFSB6 \
  | 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: 5dd7581d81bd49d6ae5fc5dc21ccb20fb24db893d8f348619ffdeb1d8e94ca2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0c7b284d1d0be1ec2f4e747eb0cb6e078fa4f070345c5ea721572034f7e8400",
    "cross_cats_sorted": [
      "cs.CC",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-09-22T17:55:49Z",
    "title_canon_sha256": "bf608c99cbf51ab1f5f6ce9188e7726adbc24bbebb0e9750127888749ab37ce1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.11216",
    "kind": "arxiv",
    "version": 1
  }
}