Pith Number

pith:ACQOYT7Z

pith:2011:ACQOYT7ZOXGEFP6O6BT6HEMPZZ

not attested not anchored not stored refs pending

Nodal dynamics, not degree distributions, determine the structural controllability of complex networks

Carl T. Bergstrom, Daril A. Vilhena, Erick J. Chastain, James S. Freudenberg, Noah J. Cowan

arxiv:1106.2573 v5 · 2011-06-13 · physics.soc-ph · cs.SI · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACQOYT7ZOXGEFP6O6BT6HEMPZZ}

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	2026-05-18T02:01:37.742459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00a0ec4ff975cc42bfcef067e3918fce53999539cc98f8068b677a3a711be720

Aliases

arxiv: 1106.2573 · arxiv_version: 1106.2573v5 · doi: 10.48550/arxiv.1106.2573 · pith_short_12: ACQOYT7ZOXGE · pith_short_16: ACQOYT7ZOXGEFP6O · pith_short_8: ACQOYT7Z

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/ACQOYT7ZOXGEFP6O6BT6HEMPZZ \
  | 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: 00a0ec4ff975cc42bfcef067e3918fce53999539cc98f8068b677a3a711be720

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd61380e5a0148fdc3ca16498194677d881ec9d455200a027b8be41ff2e48514",
    "cross_cats_sorted": [
      "cs.SI",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-06-13T23:19:39Z",
    "title_canon_sha256": "22ea8d1307dec85a2a926a85477bb60b1dccbab11bc8a2a7823b012dc71da339"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2573",
    "kind": "arxiv",
    "version": 5
  }
}