Pith Number

pith:HIVFXVIQ

pith:2015:HIVFXVIQLZNZQU7AXBCJCX2TXP

not attested not anchored not stored refs pending

The paradox of controlling complex networks: control inputs versus energy requirement

Lezhi Wang, Wenxu Wang, Ying-Cheng Lai, Yu-Zhong Chen

arxiv:1509.03196 v1 · 2015-09-10 · cs.SY · cs.SI · math-ph · math.MP · physics.soc-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HIVFXVIQLZNZQU7AXBCJCX2TXP}

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	2026-05-18T01:33:25.100451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a2a5bd5105e5b9853e0b844915f53bbe64f64379c936ac79947728faf081fc1

Aliases

arxiv: 1509.03196 · arxiv_version: 1509.03196v1 · doi: 10.48550/arxiv.1509.03196 · pith_short_12: HIVFXVIQLZNZ · pith_short_16: HIVFXVIQLZNZQU7A · pith_short_8: HIVFXVIQ

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/HIVFXVIQLZNZQU7AXBCJCX2TXP \
  | 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: 3a2a5bd5105e5b9853e0b844915f53bbe64f64379c936ac79947728faf081fc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92f31d30eb17d1cd5d7a999c88b0beca87c7a01e7204e4e685f633d45ac93bc9",
    "cross_cats_sorted": [
      "cs.SI",
      "math-ph",
      "math.MP",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2015-09-10T15:33:21Z",
    "title_canon_sha256": "1b44802b0491c7cc1870764b6a4f7c6f93985418382134acdf1b21d76b7fd912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03196",
    "kind": "arxiv",
    "version": 1
  }
}