Pith Number

pith:ILEWL7LC

pith:2008:ILEWL7LCNLBNRUB7ZQHVJJBE6J

not attested not anchored not stored refs pending

Limit of the Solutions for the Finite Horizon Problems as the Optimal Solution to the Infinite Horizon Optimization Problems

(2) Department of Mathematics, Dapeng CAI (1), Faculty of Education, Japan, Japan), Mie University, Nagoya, Nagoya University, Takashi Gyoshin NITTA (2) ((1) Institute for Advanced Research, Tsu

arxiv:0803.4050 v1 · 2008-03-28 · q-fin.GN · 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{ILEWL7LCNLBNRUB7ZQHVJJBE6J}

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	2026-05-18T03:59:49.825643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42c965fd626ac2d8d03fcc0f54a424f279a93352b02035d7b7a934c481dae4b0

Aliases

arxiv: 0803.4050 · arxiv_version: 0803.4050v1 · doi: 10.48550/arxiv.0803.4050 · pith_short_12: ILEWL7LCNLBN · pith_short_16: ILEWL7LCNLBNRUB7 · pith_short_8: ILEWL7LC

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/ILEWL7LCNLBNRUB7ZQHVJJBE6J \
  | 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: 42c965fd626ac2d8d03fcc0f54a424f279a93352b02035d7b7a934c481dae4b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "138d49435917c83329e4218b7168d2a1b0dfa049f73badcd54db308c19c2d21b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2008-03-28T06:03:50Z",
    "title_canon_sha256": "07a041e4d32aaefd0a0e38b753fc381434cb7a924a9452480a217ad5f088b0d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.4050",
    "kind": "arxiv",
    "version": 1
  }
}