pith. sign in
Pith Number

pith:GQ5OTSUT

pith:2015:GQ5OTSUTKM23CK4LGHG3QYVUP5
not attested not anchored not stored refs pending

Directional learning and the provisioning of public goods

Heinrich H. Nax, Matjaz Perc

arxiv:1501.06558 v1 · 2015-01-26 · physics.soc-ph · cs.GT · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GQ5OTSUTKM23CK4LGHG3QYVUP5}

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 2026-05-18T02:28:41.083777Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

343ae9ca935335b12b8b31cdb862b47f46dc73d4e11bbafde6f6f8963cbb9ad7

Aliases

arxiv: 1501.06558 · arxiv_version: 1501.06558v1 · doi: 10.48550/arxiv.1501.06558 · pith_short_12: GQ5OTSUTKM23 · pith_short_16: GQ5OTSUTKM23CK4L · pith_short_8: GQ5OTSUT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GQ5OTSUTKM23CK4LGHG3QYVUP5 \
  | 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: 343ae9ca935335b12b8b31cdb862b47f46dc73d4e11bbafde6f6f8963cbb9ad7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "36752f581ff8beaa45e6f1dc5893b1f3f2f2efdc8510edac4bcd457cf38b5c05",
    "cross_cats_sorted": [
      "cs.GT",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-01-26T20:40:33Z",
    "title_canon_sha256": "17296c598c0facc99a7130f44785ee1ef4e734ac556672df1babff126c1d6635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06558",
    "kind": "arxiv",
    "version": 1
  }
}