Pith Number

pith:OZC3GCJU

pith:2020:OZC3GCJUMY4KYO3NZRPEY3CBJJ

not attested not anchored not stored refs pending

HJB and Fokker-Planck equations for river environmental management based on stochastic impulse control with discrete and random observation

H. Yoshioka, K. Hamagami, M. Tsujimura, Y. Yaegashi, Y. Yoshioka

arxiv:2009.00184 v2 · 2020-09-01 · math.OC · cs.NA · cs.SY · eess.SY · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZC3GCJUMY4KYO3NZRPEY3CBJJ}

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	2026-07-05T02:43:29.948532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7645b309346638ac3b6dcc5e4c6c414a6e8e28c310449288e242bc55eea26707

Aliases

arxiv: 2009.00184 · arxiv_version: 2009.00184v2 · doi: 10.48550/arxiv.2009.00184 · pith_short_12: OZC3GCJUMY4K · pith_short_16: OZC3GCJUMY4KYO3N · pith_short_8: OZC3GCJU

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/OZC3GCJUMY4KYO3NZRPEY3CBJJ \
  | 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: 7645b309346638ac3b6dcc5e4c6c414a6e8e28c310449288e242bc55eea26707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc7a9bf5b741760c72cc4799915a321cdc79e4e329d102a40cb55a9cd46ed4dd",
    "cross_cats_sorted": [
      "cs.NA",
      "cs.SY",
      "eess.SY",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-09-01T02:04:05Z",
    "title_canon_sha256": "89c84ce8df35bbe0cb8bd8a12bbcda63eeac2bf3cf7b68de81c321d0cf0fee1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.00184",
    "kind": "arxiv",
    "version": 2
  }
}