Pith Number

pith:Y6PAHVUB

pith:2015:Y6PAHVUB66FRRILMIW5X4WF6Y7

not attested not anchored not stored refs pending

A Stochastic Electricity Market Clearing Formulation with Consistent Pricing Properties

John Birge, Kibaek Kim, Mihai Anitescu, Victor M. Zavala

arxiv:1510.08335 v1 · 2015-10-28 · q-fin.EC · 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{Y6PAHVUB66FRRILMIW5X4WF6Y7}

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	2026-05-18T01:25:56.730911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c79e03d681f78b18a16c45bb7e58bec7d9263a7a6d0be396a280d5253d9c01f3

Aliases

arxiv: 1510.08335 · arxiv_version: 1510.08335v1 · doi: 10.48550/arxiv.1510.08335 · pith_short_12: Y6PAHVUB66FR · pith_short_16: Y6PAHVUB66FRRILM · pith_short_8: Y6PAHVUB

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/Y6PAHVUB66FRRILMIW5X4WF6Y7 \
  | 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: c79e03d681f78b18a16c45bb7e58bec7d9263a7a6d0be396a280d5253d9c01f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ca7aa6582dd281123b021c96d3f9d37ed934efc9d212e707a3a9f92337ac25e",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.EC",
    "submitted_at": "2015-10-28T15:02:44Z",
    "title_canon_sha256": "fd6174e6be8af5e481e05ad1bbc2ad9b83236a4584777b98e6740ed5581dea29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08335",
    "kind": "arxiv",
    "version": 1
  }
}