Pith Number

pith:FQDV5ZF6

pith:2020:FQDV5ZF63XCAYNJ2FT3IS3VDV7

not attested not anchored not stored refs pending

Mean-field limit of a hybrid system for multi-lane multi-class traffic

Benedetto Piccoli, Giuseppe Visconti, Xiaoqian Gong

arxiv:2007.14655 v2 · 2020-07-29 · math.AP · math.DS · math.OC · 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{FQDV5ZF63XCAYNJ2FT3IS3VDV7}

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	2026-07-05T03:24:06.787356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c075ee4beddc40c353a2cf6896ea3afc8579e67cdb08162cdb390be56a7c1e0

Aliases

arxiv: 2007.14655 · arxiv_version: 2007.14655v2 · doi: 10.48550/arxiv.2007.14655 · pith_short_12: FQDV5ZF63XCA · pith_short_16: FQDV5ZF63XCAYNJ2 · pith_short_8: FQDV5ZF6

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/FQDV5ZF63XCAYNJ2FT3IS3VDV7 \
  | 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: 2c075ee4beddc40c353a2cf6896ea3afc8579e67cdb08162cdb390be56a7c1e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec87c37db7adbfa16d9d529e48b8aa6c5a7e575ce70e5e2cf035e8cf277828e4",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-07-29T07:59:56Z",
    "title_canon_sha256": "a290bb9d7eb9bf27a37d1e0a097ed40ede02fa143e0cf63cab266a1df4bce64d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.14655",
    "kind": "arxiv",
    "version": 2
  }
}