Pith Number

pith:42JBBWLV

pith:2014:42JBBWLV6FDIHYDAZXG5UO4PMK

not attested not anchored not stored refs pending

Linear-Quadratic Mean Field Games

Alain Bensoussan, Joseph Sung, Phillip Yam, Siu Pang Yung

arxiv:1404.5741 v1 · 2014-04-23 · 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{42JBBWLV6FDIHYDAZXG5UO4PMK}

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	2026-05-18T02:53:28.033832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e69210d975f14683e060cdcdda3b8f62b15ec2b3a07729b8cc197c7055ce800c

Aliases

arxiv: 1404.5741 · arxiv_version: 1404.5741v1 · doi: 10.48550/arxiv.1404.5741 · pith_short_12: 42JBBWLV6FDI · pith_short_16: 42JBBWLV6FDIHYDA · pith_short_8: 42JBBWLV

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/42JBBWLV6FDIHYDAZXG5UO4PMK \
  | 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: e69210d975f14683e060cdcdda3b8f62b15ec2b3a07729b8cc197c7055ce800c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb3ee2153030d3f85d0329675a5eaf810650ce977ed87dfa7ee75497199d9c78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-04-23T08:35:36Z",
    "title_canon_sha256": "043db08b18986a71fc9e8eb190dcd53b9c2276f9b1b8803e864e353658e2a890"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5741",
    "kind": "arxiv",
    "version": 1
  }
}