Pith Number

pith:6MJBBQCX

pith:2011:6MJBBQCX64EUNX47ADR6RR3JDA

not attested not anchored not stored refs pending

Modularity maximization and tree clustering: Novel ways to determine effective geographic borders

Christian Thiemann, Daniel Grady, Dirk Brockmann, Fabian Theis, Rafael Brune

arxiv:1104.1200 v1 · 2011-04-06 · 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{6MJBBQCX64EUNX47ADR6RR3JDA}

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	2026-05-18T02:22:10.685898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f31210c057f70946df9f00e3e8c769182606720101a95e59d35e3880b1993b25

Aliases

arxiv: 1104.1200 · arxiv_version: 1104.1200v1 · doi: 10.48550/arxiv.1104.1200 · pith_short_12: 6MJBBQCX64EU · pith_short_16: 6MJBBQCX64EUNX47 · pith_short_8: 6MJBBQCX

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/6MJBBQCX64EUNX47ADR6RR3JDA \
  | 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: f31210c057f70946df9f00e3e8c769182606720101a95e59d35e3880b1993b25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fb47d80aefee5648b984d4bca0616054cafdd386fe56fc9b03b011f3aecfe44",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-04-06T21:43:05Z",
    "title_canon_sha256": "747e441a4b7d37c30db98a0bb3834541e8b0bd72cbeaf3afdb8c25ef94971a29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1200",
    "kind": "arxiv",
    "version": 1
  }
}