Pith Number

pith:VTWCROPW

pith:2011:VTWCROPWAOEIEZCR26Y2I3MXJQ

not attested not anchored not stored refs pending

Comfort-constrained distributed heat pump management

Curran Crawford, Dan Wang, Ned Djilali, Simon Parkinson

arxiv:1112.1370 v1 · 2011-12-06 · 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{VTWCROPWAOEIEZCR26Y2I3MXJQ}

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	2026-05-18T04:06:55.566422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acec28b9f60388826451d7b1a46d974c18c288fffbbc0c9ea55e390c47b04de4

Aliases

arxiv: 1112.1370 · arxiv_version: 1112.1370v1 · doi: 10.48550/arxiv.1112.1370 · pith_short_12: VTWCROPWAOEI · pith_short_16: VTWCROPWAOEIEZCR · pith_short_8: VTWCROPW

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/VTWCROPWAOEIEZCR26Y2I3MXJQ \
  | 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: acec28b9f60388826451d7b1a46d974c18c288fffbbc0c9ea55e390c47b04de4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6abf5c6f3d575eefe4c7814da4c9b0f200246fec13ea6a6bdc0ac4bf3c19574f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-12-06T18:32:12Z",
    "title_canon_sha256": "eef0a66672702d11ffd436c73d11be203f1d9559831f29ce4893ed2e1681ca39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1370",
    "kind": "arxiv",
    "version": 1
  }
}