Pith Number

pith:VUYPUZCP

pith:2015:VUYPUZCP5RBVF2D76URBW77NGL

not attested not anchored not stored refs pending

Price and capacity competition in balancing markets with energy storage

Duncan S. Callaway, Johanna L. Mathieu, Josh A. Taylor, Kameshwar Poolla

arxiv:1503.06851 v2 · 2015-03-23 · cs.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUYPUZCP5RBVF2D76URBW77NGL}

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	2026-05-18T01:37:31.046121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad30fa644fec4352e87ff5221b7fed32fd8403cd5b541e73ef9ade9d54f8a4b5

Aliases

arxiv: 1503.06851 · arxiv_version: 1503.06851v2 · doi: 10.48550/arxiv.1503.06851 · pith_short_12: VUYPUZCP5RBV · pith_short_16: VUYPUZCP5RBVF2D7 · pith_short_8: VUYPUZCP

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/VUYPUZCP5RBVF2D76URBW77NGL \
  | 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: ad30fa644fec4352e87ff5221b7fed32fd8403cd5b541e73ef9ade9d54f8a4b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a2f706ab99e5f13b9cd06f8c1c3dd7a0d9e706c73c50590285d4dddef1650d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-03-23T21:54:17Z",
    "title_canon_sha256": "7893f6cdabeeb51977dadfb1aeee5afffd2b01a8f9849c11a2d2086c3471e0df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06851",
    "kind": "arxiv",
    "version": 2
  }
}