Pith Number

pith:V44KCLV7

pith:2018:V44KCLV77IWXAYGDMBPMW3TF2D

not attested not anchored not stored refs pending

A mean-field game model for homogeneous flocking

Evangelos A. Theodorou, Kaivalya Bakshi, Piyush Grover

arxiv:1803.05250 v3 · 2018-03-14 · nlin.AO · cs.SY · math.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V44KCLV77IWXAYGDMBPMW3TF2D}

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	2026-05-18T00:12:43.316995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af38a12ebffa2d7060c3605ecb6e65d0d352028f6e2a0ff78a87f0f68ce36b3a

Aliases

arxiv: 1803.05250 · arxiv_version: 1803.05250v3 · doi: 10.48550/arxiv.1803.05250 · pith_short_12: V44KCLV77IWX · pith_short_16: V44KCLV77IWXAYGD · pith_short_8: V44KCLV7

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/V44KCLV77IWXAYGDMBPMW3TF2D \
  | 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: af38a12ebffa2d7060c3605ecb6e65d0d352028f6e2a0ff78a87f0f68ce36b3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd092ac890382c9893b16c44584d9fa4d3c70f6a2c3b794cb9cf3c4f408c6a6c",
    "cross_cats_sorted": [
      "cs.SY",
      "math.DS",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2018-03-14T13:06:28Z",
    "title_canon_sha256": "87d422cb759c4223b297393062ca07f4657f7265de9201a8d952401cd6beb55b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05250",
    "kind": "arxiv",
    "version": 3
  }
}