Pith Number

pith:LWW7TQNL

pith:2011:LWW7TQNLXIR5YIQLYWZINBISVP

not attested not anchored not stored refs pending

Kron Reduction of Graphs with Applications to Electrical Networks

Florian Dorfler, Francesco Bullo

arxiv:1102.2950 v1 · 2011-02-15 · math.CO · cs.DM · cs.SY · math-ph · math.MP · 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{LWW7TQNLXIR5YIQLYWZINBISVP}

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	2026-05-18T04:28:38.667130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dadf9c1abba23dc220bc5b2868512abcab364e0deedf49b351101d14b9d9120

Aliases

arxiv: 1102.2950 · arxiv_version: 1102.2950v1 · doi: 10.48550/arxiv.1102.2950 · pith_short_12: LWW7TQNLXIR5 · pith_short_16: LWW7TQNLXIR5YIQL · pith_short_8: LWW7TQNL

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/LWW7TQNLXIR5YIQLYWZINBISVP \
  | 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: 5dadf9c1abba23dc220bc5b2868512abcab364e0deedf49b351101d14b9d9120

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6314daf85b7605b59d60eec456e01ab627f58a8c8f2b8626d5849d79fc7ab39",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.SY",
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-15T02:40:53Z",
    "title_canon_sha256": "b87f7cf4c9bea54f2eb3c386b0ff1aba957b5dd584b0c4bdf36b2fc18ada99ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2950",
    "kind": "arxiv",
    "version": 1
  }
}