Pith Number

pith:NJMT5WWG

pith:2015:NJMT5WWGRMWMETNKPVWVZIIP2Q

not attested not anchored not stored refs pending

A Reduced Basis Method for the Hamilton-Jacobi-Bellman Equation with Application to the European Union Emission Trading Scheme

Karsten Urban, Sebastian Steck

arxiv:1503.07560 v1 · 2015-03-25 · 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{NJMT5WWGRMWMETNKPVWVZIIP2Q}

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	2026-05-18T02:20:20.417287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a593edac68b2cc24daa7d6d5ca10fd4371ed6cba83cb4372e3f424d89aa6555

Aliases

arxiv: 1503.07560 · arxiv_version: 1503.07560v1 · doi: 10.48550/arxiv.1503.07560 · pith_short_12: NJMT5WWGRMWM · pith_short_16: NJMT5WWGRMWMETNK · pith_short_8: NJMT5WWG

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/NJMT5WWGRMWMETNKPVWVZIIP2Q \
  | 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: 6a593edac68b2cc24daa7d6d5ca10fd4371ed6cba83cb4372e3f424d89aa6555

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c816308132b66e63d1426853f9171a8a32396d6cf145073c8783816611e6e70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-03-25T21:21:24Z",
    "title_canon_sha256": "8b7b7d005237b41343203dc4f9f74779a412faff3cc4a3887b5d0dc700183830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07560",
    "kind": "arxiv",
    "version": 1
  }
}