Pith Number

pith:U5GRHO3Z

pith:2019:U5GRHO3Z5ZMWQ32B36KDSTDW7U

not attested not anchored not stored refs pending

Optimal Reduction of Public Debt under Partial Observation of the Economic Growth

Claudia Ceci, Giorgia Callegaro, Giorgio Ferrari

arxiv:1901.08356 v2 · 2019-01-24 · math.OC · econ.GN · 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{U5GRHO3Z5ZMWQ32B36KDSTDW7U}

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	2026-05-17T23:55:30.676862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a74d13bb79ee59686f41df94394c76fd075c8d634329a313dc2f5bf70dd96253

Aliases

arxiv: 1901.08356 · arxiv_version: 1901.08356v2 · doi: 10.48550/arxiv.1901.08356 · pith_short_12: U5GRHO3Z5ZMW · pith_short_16: U5GRHO3Z5ZMWQ32B · pith_short_8: U5GRHO3Z

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/U5GRHO3Z5ZMWQ32B36KDSTDW7U \
  | 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: a74d13bb79ee59686f41df94394c76fd075c8d634329a313dc2f5bf70dd96253

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce8069da89b41e87764aa3c5d7f7adb311e1ae0d85db5a970d85c46e921d51f6",
    "cross_cats_sorted": [
      "econ.GN",
      "q-fin.EC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-01-24T11:25:58Z",
    "title_canon_sha256": "963420fe556fe27eb407bdda8b6998d61d8ce7bc59e813c0db134519277be39e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08356",
    "kind": "arxiv",
    "version": 2
  }
}