Pith Number

pith:Z53ZBVHK

pith:2015:Z53ZBVHKX5TT2NLVTHKBAV2P4R

not attested not anchored not stored refs pending

Multi-Stage Pricing for Coordination of Thermostatically Controlled Loads: A Dynamic Stackelberg Game Approach

Jianming Lian, Karanjit Kalsi, Sen Li, Wei Zhang

arxiv:1507.05011 v3 · 2015-07-17 · 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{Z53ZBVHKX5TT2NLVTHKBAV2P4R}

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	2026-05-18T01:09:42.155886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf7790d4eabf673d357599d410574fe47850b809ff699fef39bc35ad8a772f46

Aliases

arxiv: 1507.05011 · arxiv_version: 1507.05011v3 · doi: 10.48550/arxiv.1507.05011 · pith_short_12: Z53ZBVHKX5TT · pith_short_16: Z53ZBVHKX5TT2NLV · pith_short_8: Z53ZBVHK

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/Z53ZBVHKX5TT2NLVTHKBAV2P4R \
  | 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: cf7790d4eabf673d357599d410574fe47850b809ff699fef39bc35ad8a772f46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c8f233bd2bf4bb6d8769146bea17d4411b3741ee7c4e9f8c89f3b87b5554ece",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-07-17T16:08:23Z",
    "title_canon_sha256": "c3f275295449140cfffe2f001428aeda25cd31f5f8fb62cd09a3c474e13eb39e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05011",
    "kind": "arxiv",
    "version": 3
  }
}