Pith Number

pith:KSPDDKFT

pith:2019:KSPDDKFTQ427GTAW7THITAJZ7Q

not attested not anchored not stored refs pending

Instantaneous control of interacting particle systems in the mean-field limit

Andreas Roth, Claudia Totzeck, Martin Burger, Oliver Tse, Rene Pinnau

arxiv:1903.12407 v1 · 2019-03-29 · math.OC · cs.NA · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KSPDDKFTQ427GTAW7THITAJZ7Q}

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	2026-06-04T20:14:18.845608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

549e31a8b38735f34c16fcce898139fc0be5f1966c37b76fb2d80468bfe50bc8

Aliases

arxiv: 1903.12407 · arxiv_version: 1903.12407v1 · doi: 10.48550/arxiv.1903.12407 · pith_short_12: KSPDDKFTQ427 · pith_short_16: KSPDDKFTQ427GTAW · pith_short_8: KSPDDKFT

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/KSPDDKFTQ427GTAW7THITAJZ7Q \
  | 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: 549e31a8b38735f34c16fcce898139fc0be5f1966c37b76fb2d80468bfe50bc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bd649b8d6cead73c867e1d4c1b9a36db286a315f3b509debf56e1cd61941d78",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-03-29T09:16:47Z",
    "title_canon_sha256": "c66d9e5846b79712fc1084f8b8d5070d4cae00c28d883fa93f38e03da7c266d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.12407",
    "kind": "arxiv",
    "version": 1
  }
}