Pith Number

pith:33BPRWJJ

pith:2009:33BPRWJJAKQXTGSLZ6I4VJWSH7

not attested not anchored not stored refs pending

Jamming transition in air transportation networks

Lucas Lacasa, Massimiliano Zanin, Miguel Cea

arxiv:0907.1042 v1 · 2009-07-06 · 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{33BPRWJJAKQXTGSLZ6I4VJWSH7}

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	2026-05-18T02:13:04.985169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dec2f8d92902a1799a4bcf91caa6d23fe460035c7eeb9839bee09fd2b2d4932f

Aliases

arxiv: 0907.1042 · arxiv_version: 0907.1042v1 · doi: 10.48550/arxiv.0907.1042 · pith_short_12: 33BPRWJJAKQX · pith_short_16: 33BPRWJJAKQXTGSL · pith_short_8: 33BPRWJJ

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/33BPRWJJAKQXTGSLZ6I4VJWSH7 \
  | 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: dec2f8d92902a1799a4bcf91caa6d23fe460035c7eeb9839bee09fd2b2d4932f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de0c60597a02c60bb931297540048e79622127ecb10a90cb75029afa71fe5744",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2009-07-06T16:36:35Z",
    "title_canon_sha256": "5f1d1519a74da920f6d73ab811d516fcc28a7c83c9d20c6a9ac9eca959723d9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1042",
    "kind": "arxiv",
    "version": 1
  }
}