Pith Number

pith:WRYXERME

pith:2019:WRYXERMENU3TFC4BTV7IH5YN25

not attested not anchored not stored refs pending

Improving the Scalability of a Prosumer Cooperative Game with K-Means Clustering

Constance Crozier, Liyang Han, Malcolm McCulloch, Thomas Morstyn

arxiv:1903.10965 v2 · 2019-03-26 · cs.CE · cs.GT · cs.LG · econ.GN · math.OC · q-fin.EC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRYXERMENU3TFC4BTV7IH5YN25}

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	2026-07-05T01:23:45.344079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4717245846d37328b819d7e83f70dd76ccff3638f99df0d058b4e68329bc2cc

Aliases

arxiv: 1903.10965 · arxiv_version: 1903.10965v2 · doi: 10.48550/arxiv.1903.10965 · pith_short_12: WRYXERMENU3T · pith_short_16: WRYXERMENU3TFC4B · pith_short_8: WRYXERME

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/WRYXERMENU3TFC4BTV7IH5YN25 \
  | 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: b4717245846d37328b819d7e83f70dd76ccff3638f99df0d058b4e68329bc2cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3df38fe5c1af98994062d3c9afbbed88917c51ad2613c30fbecde72a64ef7611",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.LG",
      "econ.GN",
      "math.OC",
      "q-fin.EC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2019-03-26T15:44:16Z",
    "title_canon_sha256": "88b696ef9b6c3a730e68925c3896c39ea69ec8b041267faa55e418c8949d2326"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10965",
    "kind": "arxiv",
    "version": 2
  }
}