Pith Number

pith:XICDQN7D

pith:2014:XICDQN7DDBEQBFD5ZGJ6I3ETKL

not attested not anchored not stored refs pending

Adaptive Optimal PMU Placement Based on Empirical Observability Gramian

Junjian Qi, Kai Sun, Wei Kang

arxiv:1411.7016 v4 · 2014-11-25 · 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{XICDQN7DDBEQBFD5ZGJ6I3ETKL}

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	2026-05-18T01:12:43.525700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba043837e3184900947dc993e46c9352f2fb5c0bf8c7d6afcbfa904bafce0c9f

Aliases

arxiv: 1411.7016 · arxiv_version: 1411.7016v4 · doi: 10.48550/arxiv.1411.7016 · pith_short_12: XICDQN7DDBEQ · pith_short_16: XICDQN7DDBEQBFD5 · pith_short_8: XICDQN7D

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/XICDQN7DDBEQBFD5ZGJ6I3ETKL \
  | 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: ba043837e3184900947dc993e46c9352f2fb5c0bf8c7d6afcbfa904bafce0c9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99beb0d2164f45c3bc4d669ba4bd17350c239ae8434f21747981e14ef0fa550c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-11-25T20:41:51Z",
    "title_canon_sha256": "b4f3eddb0ee6f7cd3711e0abe49e26d123da0460d6fd308dc4434f94232c181e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7016",
    "kind": "arxiv",
    "version": 4
  }
}