Pith Number

pith:YESXEAJP

pith:2026:YESXEAJPZE4F5BXEHU324PJ2ZK

not attested not anchored not stored refs pending

Finite-Horizon Portfolio Choice, Labor Supply, and Early Retirement under Borrowing Constraints

Gugyum Ha, Jihoon Ok, Junkee Jeon

arxiv:2606.21382 v1 · 2026-06-19 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YESXEAJPZE4F5BXEHU324PJ2ZK}

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	2026-06-23T01:13:08.463878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c12572012fc9385e86e43d37ae3d3acaa9612e02d0864bff4327deee36e07851

Aliases

arxiv: 2606.21382 · arxiv_version: 2606.21382v1 · doi: 10.48550/arxiv.2606.21382 · pith_short_12: YESXEAJPZE4F · pith_short_16: YESXEAJPZE4F5BXE · pith_short_8: YESXEAJP

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/YESXEAJPZE4F5BXEHU324PJ2ZK \
  | 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: c12572012fc9385e86e43d37ae3d3acaa9612e02d0864bff4327deee36e07851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d96855cc0895d258804b7a6571ee0f51002c466933309026d1d2884a72ac41",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-19T12:36:47Z",
    "title_canon_sha256": "05c2e8fc98dc3f6ba498eb92d371955803e867157933d4be0e44ec94e9ce9d5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21382",
    "kind": "arxiv",
    "version": 1
  }
}