Pith Number

pith:HTEBR66B

pith:2016:HTEBR66BGBQCCPAW6FQBGCKKNF

not attested not anchored not stored refs pending

Strategic Bidding and Equilibria in Coupled Gas and Electricity Markets

Cheng Wang, Feng Liu, Jianhui Wang, Shengwei Mei, Wei Wei

arxiv:1607.04184 v1 · 2016-07-14 · 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{HTEBR66BGBQCCPAW6FQBGCKKNF}

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	2026-05-18T01:11:03.956311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cc818fbc13060213c16f16013094a694ca0760f19e0b5e4d30b0e6ff9ce6ca6

Aliases

arxiv: 1607.04184 · arxiv_version: 1607.04184v1 · doi: 10.48550/arxiv.1607.04184 · pith_short_12: HTEBR66BGBQC · pith_short_16: HTEBR66BGBQCCPAW · pith_short_8: HTEBR66B

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/HTEBR66BGBQCCPAW6FQBGCKKNF \
  | 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: 3cc818fbc13060213c16f16013094a694ca0760f19e0b5e4d30b0e6ff9ce6ca6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b98a1d6bd7e55e547873246d617e16c38fd76feda7a01820a9032bb435f8f00d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-14T16:11:04Z",
    "title_canon_sha256": "acaf78a95c8eda54ec4403b15b3f8ecf3196e64d3bd86cd487a24c58f3407d90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04184",
    "kind": "arxiv",
    "version": 1
  }
}