Pith Number

pith:Y64JMTZA

pith:2021:Y64JMTZAHNWPCG5AXXDK7Z4BCU

not attested not anchored not stored refs pending

Modeling of Frequency Security Constraints and Quantification of Frequency Control Reserve Requirements for Unit Commitment

Likai Liu, Zechun Hu

arxiv:2110.13448 v1 · 2021-10-26 · eess.SY · cs.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{Y64JMTZAHNWPCG5AXXDK7Z4BCU}

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	2026-07-05T03:25:38.962663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7b8964f203b6cf11ba0bdc6afe78115098e076b7e9d8e1b895df6b884083d2f

Aliases

arxiv: 2110.13448 · arxiv_version: 2110.13448v1 · doi: 10.48550/arxiv.2110.13448 · pith_short_12: Y64JMTZAHNWP · pith_short_16: Y64JMTZAHNWPCG5A · pith_short_8: Y64JMTZA

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/Y64JMTZAHNWPCG5AXXDK7Z4BCU \
  | 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: c7b8964f203b6cf11ba0bdc6afe78115098e076b7e9d8e1b895df6b884083d2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5afe576b5dc2be25c80254dcca1aea085f887b0c76a554f87803e61fa013d59",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2021-10-26T07:18:58Z",
    "title_canon_sha256": "35a8e645887bca43dffdd231eb6b368c8ad0d84f7540176e3a4b9d2242902cdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.13448",
    "kind": "arxiv",
    "version": 1
  }
}