Pith Number

pith:LDIDVE5P

pith:2021:LDIDVE5PJZP7TBCHCWNDRSQMVR

not attested not anchored not stored refs pending

Decentralized Stability Conditions for DC Microgrids: Beyond Passivity Approaches

Ioannis Lestas, Jeremy Watson, Khaled Laib, Yemi Ojo

arxiv:2109.02708 v4 · 2021-09-06 · 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{LDIDVE5PJZP7TBCHCWNDRSQMVR}

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	2026-07-05T04:48:35.934628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58d03a93af4e5ff98447159a38ca0cac79093852058049c244f6ee6c290816b1

Aliases

arxiv: 2109.02708 · arxiv_version: 2109.02708v4 · doi: 10.48550/arxiv.2109.02708 · pith_short_12: LDIDVE5PJZP7 · pith_short_16: LDIDVE5PJZP7TBCH · pith_short_8: LDIDVE5P

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/LDIDVE5PJZP7TBCHCWNDRSQMVR \
  | 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: 58d03a93af4e5ff98447159a38ca0cac79093852058049c244f6ee6c290816b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7c3bc9568da1edabfd62781f4eb59afe32ef91fb03f7935bdfd9743626bc1ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-09-06T19:35:47Z",
    "title_canon_sha256": "46db401f920aeb13871bf3b01395cd6324d0c30470bfbdb1fa64f03e435343b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.02708",
    "kind": "arxiv",
    "version": 4
  }
}