Pith Number

pith:LRRKP52D

pith:2015:LRRKP52DJTQBFUHBAAMWSCGSAT

not attested not anchored not stored refs pending

The optimal control of storage for arbitrage and buffering, with energy applications

James Cruise, Stan Zachary

arxiv:1509.05788 v1 · 2015-09-18 · 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{LRRKP52DJTQBFUHBAAMWSCGSAT}

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	2026-05-18T01:32:42.324565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c62a7f7434ce012d0e100196908d204eee3a7565d5ea5d12598f12f6fd82854

Aliases

arxiv: 1509.05788 · arxiv_version: 1509.05788v1 · doi: 10.48550/arxiv.1509.05788 · pith_short_12: LRRKP52DJTQB · pith_short_16: LRRKP52DJTQBFUHB · pith_short_8: LRRKP52D

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/LRRKP52DJTQBFUHBAAMWSCGSAT \
  | 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: 5c62a7f7434ce012d0e100196908d204eee3a7565d5ea5d12598f12f6fd82854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "419817cf357742ea68703d0a5fdf113c5ad44e1957ed6d2faf125c7b10579949",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-18T20:19:48Z",
    "title_canon_sha256": "a0ccd7523b80efe534b029b673e5857db1c7fda16e565d4a0a4098aff22e5ca3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05788",
    "kind": "arxiv",
    "version": 1
  }
}