Pith Number

pith:VSK3KCUA

pith:2016:VSK3KCUAJLCE7TG6M3Q7AQKZCY

not attested not anchored not stored refs pending

Mean Field Limit and Propagation of Chaos for a Pedestrian Flow Model

Li Chen, Qitao Yin, Simone G\"ottlich

arxiv:1608.06432 v2 · 2016-08-23 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSK3KCUAJLCE7TG6M3Q7AQKZCY}

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	2026-05-18T00:56:45.590418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac95b50a804ac44fccde66e1f041591621fcea08ddda67329de2901e2e385246

Aliases

arxiv: 1608.06432 · arxiv_version: 1608.06432v2 · doi: 10.48550/arxiv.1608.06432 · pith_short_12: VSK3KCUAJLCE · pith_short_16: VSK3KCUAJLCE7TG6 · pith_short_8: VSK3KCUA

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/VSK3KCUAJLCE7TG6M3Q7AQKZCY \
  | 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: ac95b50a804ac44fccde66e1f041591621fcea08ddda67329de2901e2e385246

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c988ee6684d44c5957974ff526d4fb372484a6b17d69346fb474de982936b5fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-23T09:27:29Z",
    "title_canon_sha256": "a1e9df18d632841f0c5c726b3693490677cbb3b64398574c6b6a1477111f4fe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06432",
    "kind": "arxiv",
    "version": 2
  }
}