Pith Number

pith:64LBDNS4

pith:2011:64LBDNS4BUAHAMHYWD3HBCI5DS

not attested not anchored not stored refs pending

Optimizing and controlling functions of complex networks by manipulating rich-club connections

Jie Zhang, Michael Small, Ping Li, Xiao-Ke Xu

arxiv:1106.5301 v1 · 2011-06-27 · physics.soc-ph · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64LBDNS4BUAHAMHYWD3HBCI5DS}

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	2026-05-18T02:01:30.506529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f71611b65c0d007030f8b0f670891d1ca741471121b8ac8c3920035df0fe811b

Aliases

arxiv: 1106.5301 · arxiv_version: 1106.5301v1 · doi: 10.48550/arxiv.1106.5301 · pith_short_12: 64LBDNS4BUAH · pith_short_16: 64LBDNS4BUAHAMHY · pith_short_8: 64LBDNS4

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/64LBDNS4BUAHAMHYWD3HBCI5DS \
  | 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: f71611b65c0d007030f8b0f670891d1ca741471121b8ac8c3920035df0fe811b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c81725139adb8cfcd5fa87f89b1e191649a5064e8c68e57da17a9fdf7fe9aff",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-06-27T05:54:59Z",
    "title_canon_sha256": "2e0ee3bcb5dc1bcf90538e2b8ab0b94153340347f98cab15b304fed3116efbe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5301",
    "kind": "arxiv",
    "version": 1
  }
}