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Pith Number

pith:N25ATNPO

pith:2011:N25ATNPOA5G33PYCI4PIBAD3CS
not attested not anchored not stored refs pending

Limits on the Benefits of Energy Storage for Renewable Integration

Abbas El Gamal, Han-I Su

arxiv:1109.3841 v2 · 2011-09-18 · math.OC · cs.SY

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{N25ATNPOA5G33PYCI4PIBAD3CS}

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 2026-05-18T03:58:04.439808Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6eba09b5ee074dbdbf02471e80807b14bb4bfd6fd0344ae6f6bc70d37d90a46b

Aliases

arxiv: 1109.3841 · arxiv_version: 1109.3841v2 · doi: 10.48550/arxiv.1109.3841 · pith_short_12: N25ATNPOA5G3 · pith_short_16: N25ATNPOA5G33PYC · pith_short_8: N25ATNPO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/N25ATNPOA5G33PYCI4PIBAD3CS \
  | 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: 6eba09b5ee074dbdbf02471e80807b14bb4bfd6fd0344ae6f6bc70d37d90a46b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "31edf2c8c3aed00aa98cad9a3161f19ec39bf196e334a5114ead685e7f1ef58b",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-09-18T04:12:04Z",
    "title_canon_sha256": "abdc1a10c9563ae5c4ca892fe1d2b6c3187f4f12c5d3b486f215d15c3ba98ed8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3841",
    "kind": "arxiv",
    "version": 2
  }
}