Pith Number

pith:V7ZBX2XE

pith:2015:V7ZBX2XEVALXAP34WXEOB5UTX2

not attested not anchored not stored refs pending

Fundamental building blocks of controlling complex networks: A universal controllability framework

Chen Zhao, Wen-Xu Wang, Ying-Cheng Lai, Zhesi Shen

arxiv:1511.06056 v2 · 2015-11-19 · physics.soc-ph · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7ZBX2XEVALXAP34WXEOB5UTX2}

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	2026-05-18T01:11:41.249113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aff21beae4a817703f7cb5c8e0f693be9b519e807a780b2a09488181f675283b

Aliases

arxiv: 1511.06056 · arxiv_version: 1511.06056v2 · doi: 10.48550/arxiv.1511.06056 · pith_short_12: V7ZBX2XEVALX · pith_short_16: V7ZBX2XEVALXAP34 · pith_short_8: V7ZBX2XE

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/V7ZBX2XEVALXAP34WXEOB5UTX2 \
  | 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: aff21beae4a817703f7cb5c8e0f693be9b519e807a780b2a09488181f675283b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf7c04fa939abff7463a3bcb9f07c23c2da948efd0af5456995dd8237ee84d9a",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-11-19T04:21:31Z",
    "title_canon_sha256": "dc6414f37e76948eb5cc586df86f88c2b6f283e7b82218040e76d63aa0018544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06056",
    "kind": "arxiv",
    "version": 2
  }
}