Pith Number

pith:AWUQ2PV3

pith:2016:AWUQ2PV3C5HNMSWMEDUSEYC4I6

not attested not anchored not stored refs pending

A Geometric Approach to Aggregate Flexibility Modeling of Thermostatically Controlled Loads

He Hao, Karan Kalsi, Lin Zhao, Wei Zhang

arxiv:1608.04422 v2 · 2016-08-15 · 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{AWUQ2PV3C5HNMSWMEDUSEYC4I6}

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	2026-05-18T00:47:26.898149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05a90d3ebb174ed64acc20e922605c479f29fe6415463e8757c8e965369a4b51

Aliases

arxiv: 1608.04422 · arxiv_version: 1608.04422v2 · doi: 10.48550/arxiv.1608.04422 · pith_short_12: AWUQ2PV3C5HN · pith_short_16: AWUQ2PV3C5HNMSWM · pith_short_8: AWUQ2PV3

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/AWUQ2PV3C5HNMSWMEDUSEYC4I6 \
  | 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: 05a90d3ebb174ed64acc20e922605c479f29fe6415463e8757c8e965369a4b51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef4175cd39318c7e815d226f38b543bcb7b6dc649f215b46d91b87692cb0f730",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-08-15T22:01:39Z",
    "title_canon_sha256": "54c039df88c1de764999678c8377080dbc6085673a3f70b7be5e003a94594f4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04422",
    "kind": "arxiv",
    "version": 2
  }
}