Pith Number

pith:73B43MSF

pith:2018:73B43MSFDYOERG6G5ZOHU4MZBL

not attested not anchored not stored refs pending

Optimal investment and consumption with labor income in incomplete markets

Mihai S\^irbu, Oleksii Mostovyi

arxiv:1806.05901 v2 · 2018-06-15 · math.PR · 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{73B43MSFDYOERG6G5ZOHU4MZBL}

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	2026-05-17T23:55:29.272693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fec3cdb2451e1c489bc6ee5c7a71990af01f259346ff0c64d6a6e359357d2334

Aliases

arxiv: 1806.05901 · arxiv_version: 1806.05901v2 · doi: 10.48550/arxiv.1806.05901 · pith_short_12: 73B43MSFDYOE · pith_short_16: 73B43MSFDYOERG6G · pith_short_8: 73B43MSF

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/73B43MSFDYOERG6G5ZOHU4MZBL \
  | 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: fec3cdb2451e1c489bc6ee5c7a71990af01f259346ff0c64d6a6e359357d2334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d239148785c501153f1caf91c42d07a3d055a1cdf9bf84be1d2792457a5a17b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-15T10:58:25Z",
    "title_canon_sha256": "238b65941bfcc80eebec91795698e1591e79b968feb71a68a4c1e77dd201c88d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05901",
    "kind": "arxiv",
    "version": 2
  }
}