pith. sign in
Pith Number

pith:6CXEXKL5

pith:2010:6CXEXKL5ZKMQVRLAUZP5HWUZ6O
not attested not anchored not stored refs pending

Three-phase traffic theory and two-phase models with a fundamental diagram in the light of empirical stylized facts

Arne Kesting, Dirk Helbing, Martin Treiber

arxiv:1004.5545 v1 · 2010-04-30 · physics.soc-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6CXEXKL5ZKMQVRLAUZP5HWUZ6O}

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 2026-05-18T04:14:53.552649Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f0ae4ba97dca990ac560a65fd3da99f3857290a1144f4cef28098762a63d556f

Aliases

arxiv: 1004.5545 · arxiv_version: 1004.5545v1 · doi: 10.48550/arxiv.1004.5545 · pith_short_12: 6CXEXKL5ZKMQ · pith_short_16: 6CXEXKL5ZKMQVRLA · pith_short_8: 6CXEXKL5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6CXEXKL5ZKMQVRLAUZP5HWUZ6O \
  | 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: f0ae4ba97dca990ac560a65fd3da99f3857290a1144f4cef28098762a63d556f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6d23c6f659741d99785a49b2ea377b29fe581c0c7dc1ce981d55209712f64ee9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2010-04-30T14:52:44Z",
    "title_canon_sha256": "e090315f272d3009cdb4534681a2f70785147c2e3499abf9f70fb651fc8d997a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5545",
    "kind": "arxiv",
    "version": 1
  }
}