Pith Number

pith:HRHYBFWO

pith:2015:HRHYBFWOZ76Y3QLTFEG6XG32BX

not attested not anchored not stored refs pending

The Kirchhoff-Braess Paradox and Its Implications for Smart Microgrids

Bowen Zhang, John Baillieul, Shuai Wang

arxiv:1504.04319 v2 · 2015-04-16 · 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{HRHYBFWOZ76Y3QLTFEG6XG32BX}

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	2026-05-18T01:32:37.206582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c4f8096cecffd8dc173290deb9b7a0ddc03294f3c77239c048107c4b8315ea0

Aliases

arxiv: 1504.04319 · arxiv_version: 1504.04319v2 · doi: 10.48550/arxiv.1504.04319 · pith_short_12: HRHYBFWOZ76Y · pith_short_16: HRHYBFWOZ76Y3QLT · pith_short_8: HRHYBFWO

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/HRHYBFWOZ76Y3QLTFEG6XG32BX \
  | 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: 3c4f8096cecffd8dc173290deb9b7a0ddc03294f3c77239c048107c4b8315ea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72ffb5ba11e34b726d2f56bc1535987d737e957279837c1dd5c0d9ffed074f6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2015-04-16T17:44:26Z",
    "title_canon_sha256": "acad4ce08669a8b98fcb4df3bb6e2cae4aac13e5d113aa51e6ad7e55556e823d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04319",
    "kind": "arxiv",
    "version": 2
  }
}