Pith Number

pith:VXI7ATGM

pith:2011:VXI7ATGMOSDYARQL63BM3Q65AW

not attested not anchored not stored refs pending

All scale-free networks are sparse

Charo I. Del Genio, Kevin E. Bassler, Thilo gross

arxiv:1106.5150 v2 · 2011-06-25 · physics.soc-ph · cond-mat.stat-mech · 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{VXI7ATGMOSDYARQL63BM3Q65AW}

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	2026-05-18T04:09:37.514852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

add1f04ccc748780460bf6c2cdc3dd059ba7b5a87d156a34ea651353d7c0efa0

Aliases

arxiv: 1106.5150 · arxiv_version: 1106.5150v2 · doi: 10.48550/arxiv.1106.5150 · pith_short_12: VXI7ATGMOSDY · pith_short_16: VXI7ATGMOSDYARQL · pith_short_8: VXI7ATGM

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/VXI7ATGMOSDYARQL63BM3Q65AW \
  | 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: add1f04ccc748780460bf6c2cdc3dd059ba7b5a87d156a34ea651353d7c0efa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ed5d5e76683334daab382c065d67770173110b9f51c50a5568f27dbbd7389e5",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-06-25T17:21:49Z",
    "title_canon_sha256": "41ae11fbf4a34c6a41067bb5dbe949bb06230767fe80580c5fa036a59244bedd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5150",
    "kind": "arxiv",
    "version": 2
  }
}