Pith Number

pith:NBGK75N3

pith:2019:NBGK75N3GQ6D4EDYVU6MNWBB5Y

not attested not anchored not stored refs pending

Optimal Investment with Vintage Capital:Equilibrium Distributions

Fausto Gozzi, Peter M. Kort, Silvia Faggian

arxiv:1905.01222 v1 · 2019-05-03 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBGK75N3GQ6D4EDYVU6MNWBB5Y}

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	2026-05-17T23:47:06.464133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

684caff5bb343c3e1078ad3cc6d821ee3666e9bee54c6cc3067708de68fbe8ed

Aliases

arxiv: 1905.01222 · arxiv_version: 1905.01222v1 · doi: 10.48550/arxiv.1905.01222 · pith_short_12: NBGK75N3GQ6D · pith_short_16: NBGK75N3GQ6D4EDY · pith_short_8: NBGK75N3

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/NBGK75N3GQ6D4EDYVU6MNWBB5Y \
  | 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: 684caff5bb343c3e1078ad3cc6d821ee3666e9bee54c6cc3067708de68fbe8ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81828b6ce9892d8a8ff0f101d53b19ae2331fc167ccbd49b9b59c43233e54fc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-05-03T15:25:10Z",
    "title_canon_sha256": "17017620fa28bc5b784a97dcef982215e5af31d2feb5040f72526041d6055d41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01222",
    "kind": "arxiv",
    "version": 1
  }
}