Pith Number

pith:XTJRFHDE

pith:2016:XTJRFHDELRZIDMWNRV4TPRVBCN

not attested not anchored not stored refs pending

Minimum Sparsity of Unobservable Power Network Attacks

Andrea Goldsmith, H. Vincent Poor, Yue Zhao

arxiv:1610.06068 v1 · 2016-10-19 · 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{XTJRFHDELRZIDMWNRV4TPRVBCN}

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	2026-05-18T01:01:50.201910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcd3129c645c7281b2cd8d7937c6a1136381da5a24f219c42787ebeffade0d70

Aliases

arxiv: 1610.06068 · arxiv_version: 1610.06068v1 · doi: 10.48550/arxiv.1610.06068 · pith_short_12: XTJRFHDELRZI · pith_short_16: XTJRFHDELRZIDMWN · pith_short_8: XTJRFHDE

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/XTJRFHDELRZIDMWNRV4TPRVBCN \
  | 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: bcd3129c645c7281b2cd8d7937c6a1136381da5a24f219c42787ebeffade0d70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8729eb2a90f022100e514b42ced8b4527c17d8c5073f3cd891a4c2a39884e7a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-10-19T15:39:14Z",
    "title_canon_sha256": "b7e82d78af90910a84b76d6e12e6d740e7fc07cc4b78da3e7e70e7d23dd46a22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06068",
    "kind": "arxiv",
    "version": 1
  }
}