Pith Number

pith:QYC5HWIJ

pith:2026:QYC5HWIJUTC7ZPWUYKLZDUUJ77

not attested not anchored not stored refs pending

The Economics of Proof-of-Useful-Work

Rafael Pass

arxiv:2606.06700 v1 · 2026-06-04 · cs.GT · cs.CR · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QYC5HWIJUTC7ZPWUYKLZDUUJ77}

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	2026-06-08T01:04:23.445929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8605d3d909a4c5fcbed4c29791d289fff02dad590b90cd336855246c7241254e

Aliases

arxiv: 2606.06700 · arxiv_version: 2606.06700v1 · doi: 10.48550/arxiv.2606.06700 · pith_short_12: QYC5HWIJUTC7 · pith_short_16: QYC5HWIJUTC7ZPWU · pith_short_8: QYC5HWIJ

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/QYC5HWIJUTC7ZPWUYKLZDUUJ77 \
  | 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: 8605d3d909a4c5fcbed4c29791d289fff02dad590b90cd336855246c7241254e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f69e780a2b179c93e2d31d4073ffca25da229f8673e0d83877bc748be2e8460",
    "cross_cats_sorted": [
      "cs.CR",
      "econ.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-06-04T20:39:32Z",
    "title_canon_sha256": "ab3f03623e04a8162789696cd90b3e5578f760e1c26aab02a4657061bc87bcd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06700",
    "kind": "arxiv",
    "version": 1
  }
}