Pith Number

pith:NHTLOY5J

pith:2021:NHTLOY5JQJTWYJZZAWJXQOLW2D

not attested not anchored not stored refs pending

Flexibility Requirement when Tracking Renewable Power Fluctuation with Peer-to-Peer Energy Sharing

Jo\~ao P. S. Catal\~ao, Laijun Chen, Mingxuan Li, Wei Wei, Yue Chen

arxiv:2109.03434 v1 · 2021-09-08 · math.OC · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHTLOY5JQJTWYJZZAWJXQOLW2D}

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	2026-07-05T03:12:31.088295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69e6b763a982676c27390593783976d0cd795ae1dff423e605a9cc7c0fb596bb

Aliases

arxiv: 2109.03434 · arxiv_version: 2109.03434v1 · doi: 10.48550/arxiv.2109.03434 · pith_short_12: NHTLOY5JQJTW · pith_short_16: NHTLOY5JQJTWYJZZ · pith_short_8: NHTLOY5J

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/NHTLOY5JQJTWYJZZAWJXQOLW2D \
  | 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: 69e6b763a982676c27390593783976d0cd795ae1dff423e605a9cc7c0fb596bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d27360f7e6172ad7c43204bc0f05f1c486f5d1b7fe2996fa9363c0bc6a8628d",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-09-08T05:01:23Z",
    "title_canon_sha256": "e1d04cade0f997cc8f6d85f8ad575e9442a43f853bfa5d7cdacca3060992f6c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.03434",
    "kind": "arxiv",
    "version": 1
  }
}