Pith Number

pith:G5EAGY57

pith:2009:G5EAGY57PI3CSGZDT4HDALRK3V

not attested not anchored not stored refs pending

Optimal synchronization on strongly connected directed networks

Markus Brede

arxiv:0911.1821 v1 · 2009-11-10 · nlin.PS · 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{G5EAGY57PI3CSGZDT4HDALRK3V}

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	2026-05-18T02:10:49.284706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37480363bf7a36291b239f0e302e2add4ec8952810199ecc8bd418b5efb44157

Aliases

arxiv: 0911.1821 · arxiv_version: 0911.1821v1 · doi: 10.48550/arxiv.0911.1821 · pith_short_12: G5EAGY57PI3C · pith_short_16: G5EAGY57PI3CSGZD · pith_short_8: G5EAGY57

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/G5EAGY57PI3CSGZDT4HDALRK3V \
  | 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: 37480363bf7a36291b239f0e302e2add4ec8952810199ecc8bd418b5efb44157

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6f108b7ff368daafbcc758c083ab4e995197930e250a51154cbffa2b5d6692b",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2009-11-10T03:12:18Z",
    "title_canon_sha256": "50ccad02444fac21a53f8ad00805ecdce87a9b52575d2a0404e38070ab6c8db5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1821",
    "kind": "arxiv",
    "version": 1
  }
}