Pith Number

pith:5662A7VT

pith:2021:5662A7VTZMEPFMYSJ6SOVWGEJR

not attested not anchored not stored refs pending

Algebraic Analysis of Electric Load and Electricity Pricing

Jie Gu, Jinghuan Ma, Zhijian Jin

arxiv:2111.03658 v1 · 2021-11-05 · 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{5662A7VTZMEPFMYSJ6SOVWGEJR}

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	2026-07-05T03:29:30.379555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efbda07eb3cb08f2b3124fa4ead8c44c5c9c4451485e6f17495a9d5aa540688e

Aliases

arxiv: 2111.03658 · arxiv_version: 2111.03658v1 · doi: 10.48550/arxiv.2111.03658 · pith_short_12: 5662A7VTZMEP · pith_short_16: 5662A7VTZMEPFMYS · pith_short_8: 5662A7VT

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/5662A7VTZMEPFMYSJ6SOVWGEJR \
  | 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: efbda07eb3cb08f2b3124fa4ead8c44c5c9c4451485e6f17495a9d5aa540688e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e9324f491fa1745763c6a5cc21668a0060ccd891bcf058e9c387b8b95ba64e1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-11-05T00:50:55Z",
    "title_canon_sha256": "be7eac596c97ff9c3351ff6d4b2d25a8986a528549da610e5c6c2a99f8e51b8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.03658",
    "kind": "arxiv",
    "version": 1
  }
}