Pith Number

pith:6OVF5GEL

pith:2016:6OVF5GELT7F3EASVMRZHQZRAWH

not attested not anchored not stored refs pending

Mean Field Type Control with Congestion (II): An Augmented Lagrangian Method

Mathieu Lauriere (LJLL), Yves Achdou (LJLL)

arxiv:1611.02023 v1 · 2016-11-07 · math.AP · cs.NA · cs.SY · 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{6OVF5GELT7F3EASVMRZHQZRAWH}

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	2026-05-18T01:00:03.892738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3aa5e988b9fcbb202556472786620b1cc2673b6c14d48ff37bbaec071caa2f5

Aliases

arxiv: 1611.02023 · arxiv_version: 1611.02023v1 · doi: 10.48550/arxiv.1611.02023 · pith_short_12: 6OVF5GELT7F3 · pith_short_16: 6OVF5GELT7F3EASV · pith_short_8: 6OVF5GEL

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/6OVF5GELT7F3EASVMRZHQZRAWH \
  | 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: f3aa5e988b9fcbb202556472786620b1cc2673b6c14d48ff37bbaec071caa2f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eaf63d69e340afe98582c8abc5e7dac5f50a92ac045cd06b62606f72ef8a4c5",
    "cross_cats_sorted": [
      "cs.NA",
      "cs.SY",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-07T12:41:44Z",
    "title_canon_sha256": "f5c80beff0e22b4dd9d66efd6bc863e34b8e516ac84402c8c4a769484d6725d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02023",
    "kind": "arxiv",
    "version": 1
  }
}