Pith Number

pith:F5EVRZ3L

pith:2008:F5EVRZ3L4XRV7UER7TCH5MK6F4

not attested not anchored not stored refs pending

Constructing the Optimal Solutions to the Undiscounted Continuous-Time 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:0803.4046 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{F5EVRZ3L4XRV7UER7TCH5MK6F4}

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	2026-05-18T03:59:49.831426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f4958e76be5e35fd091fcc47eb15e2f2a3735143268d9b85705b08b7860c5e8

Aliases

arxiv: 0803.4046 · arxiv_version: 0803.4046v1 · doi: 10.48550/arxiv.0803.4046 · pith_short_12: F5EVRZ3L4XRV · pith_short_16: F5EVRZ3L4XRV7UER · pith_short_8: F5EVRZ3L

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/F5EVRZ3L4XRV7UER7TCH5MK6F4 \
  | 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: 2f4958e76be5e35fd091fcc47eb15e2f2a3735143268d9b85705b08b7860c5e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55c11b260665771c71bbf4732fe584b0fabaf2711ec219ade0937abe971f09f4",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2008-03-28T05:51:11Z",
    "title_canon_sha256": "818de99f945019338f7f1025b861b02fbf63b5c6c346a4bae678f6105845a451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.4046",
    "kind": "arxiv",
    "version": 1
  }
}