Pith Number

pith:AYXXTJAA

pith:2015:AYXXTJAAQ2ZPXXN5BOQPOYP5GC

not attested not anchored not stored refs pending

Robust Energy-Constrained Frequency Reserves from Aggregations of Commercial Buildings

Evangelos Vrettos, Frauke Oldewurtel, G\"oran Andersson

arxiv:1506.05399 v1 · 2015-06-17 · cs.SY · 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{AYXXTJAAQ2ZPXXN5BOQPOYP5GC}

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	2026-05-18T00:59:27.696538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

062f79a40086b2fbddbd0ba0f761fd3098a75c4184a65904eb68970f138b518f

Aliases

arxiv: 1506.05399 · arxiv_version: 1506.05399v1 · doi: 10.48550/arxiv.1506.05399 · pith_short_12: AYXXTJAAQ2ZP · pith_short_16: AYXXTJAAQ2ZPXXN5 · pith_short_8: AYXXTJAA

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/AYXXTJAAQ2ZPXXN5BOQPOYP5GC \
  | 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: 062f79a40086b2fbddbd0ba0f761fd3098a75c4184a65904eb68970f138b518f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dba3e363ba527e5fbbcc5082267fb8a9fb9d9418c1d41de403f452dc437ac0a3",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2015-06-17T17:57:41Z",
    "title_canon_sha256": "99a3e380937997ac27509566b422e8a3c448b025d5ec9fc2e898e2e49d0c5e15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05399",
    "kind": "arxiv",
    "version": 1
  }
}