Pith Number

pith:VE3MO6KZ

pith:2019:VE3MO6KZQD4ARGTK5DT33554VB

not attested not anchored not stored refs pending

On Extension of Effective Resistance with Application to Graph Laplacian Definiteness and Power Network Stability

David J. Hill, Tao Liu, Yue Song

arxiv:1906.07632 v3 · 2019-06-18 · 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{VE3MO6KZQD4ARGTK5DT33554VB}

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	2026-05-17T23:40:17.068430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a936c7795980f8089a6ae8e7bdf7bca842bb153bc5c5a57886413e83c5a91bbc

Aliases

arxiv: 1906.07632 · arxiv_version: 1906.07632v3 · doi: 10.48550/arxiv.1906.07632 · pith_short_12: VE3MO6KZQD4A · pith_short_16: VE3MO6KZQD4ARGTK · pith_short_8: VE3MO6KZ

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/VE3MO6KZQD4ARGTK5DT33554VB \
  | 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: a936c7795980f8089a6ae8e7bdf7bca842bb153bc5c5a57886413e83c5a91bbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db75693cea9454dc987ff5115dfada30307a7cf4db6c0d05c19bd51fcbe31d0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-06-18T15:07:30Z",
    "title_canon_sha256": "19257513de6a1ff818c37fc40743a1b56cd30d84d714368958a809507ff38bfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07632",
    "kind": "arxiv",
    "version": 3
  }
}