Pith Number

pith:W7IHBRF2

pith:2019:W7IHBRF2I7HQ5CVOYMFRS2YFL2

not attested not anchored not stored refs pending

A Lagrangian Policy for Optimal Energy Storage Control

Audun Botterud, Bolun Xu, Francis O'Sullivan, Magnus Korpas

arxiv:1901.09507 v3 · 2019-01-28 · 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{W7IHBRF2I7HQ5CVOYMFRS2YFL2}

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	2026-07-05T00:25:49.591827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7d070c4ba47cf0e8aaec30b196b055eac287b2ff1b7f8ad960106de553c1042

Aliases

arxiv: 1901.09507 · arxiv_version: 1901.09507v3 · doi: 10.48550/arxiv.1901.09507 · pith_short_12: W7IHBRF2I7HQ · pith_short_16: W7IHBRF2I7HQ5CVO · pith_short_8: W7IHBRF2

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/W7IHBRF2I7HQ5CVOYMFRS2YFL2 \
  | 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: b7d070c4ba47cf0e8aaec30b196b055eac287b2ff1b7f8ad960106de553c1042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0d5f07560c2c776f821bc909fb505044a0f633f502528dd11eb9b9ef9224ccf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-01-28T04:00:00Z",
    "title_canon_sha256": "c491820f731474da30a48143ae6e9e0d7668a06346fb6be197bb8717de9d3b23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09507",
    "kind": "arxiv",
    "version": 3
  }
}