Pith Number

pith:MSWZQE6J

pith:2017:MSWZQE6J3MZGHVU3G4QEUVMMJA

not attested not anchored not stored refs pending

Bellman systems with mean field dependent dynamics

Alain Bensoussan, Jens Frehse, Miroslav Bul\'i\v{c}ek

arxiv:1711.02115 v1 · 2017-11-06 · 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{MSWZQE6J3MZGHVU3G4QEUVMMJA}

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	2026-05-18T00:31:10.943625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64ad9813c9db3263d69b37204a558c4823305b2767613fda31e9a787f786c3d0

Aliases

arxiv: 1711.02115 · arxiv_version: 1711.02115v1 · doi: 10.48550/arxiv.1711.02115 · pith_short_12: MSWZQE6J3MZG · pith_short_16: MSWZQE6J3MZGHVU3 · pith_short_8: MSWZQE6J

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/MSWZQE6J3MZGHVU3G4QEUVMMJA \
  | 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: 64ad9813c9db3263d69b37204a558c4823305b2767613fda31e9a787f786c3d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c22a4772b07f73650bea6ef38517bf9c6df12db329b292f557db170cb1faa63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-06T19:07:46Z",
    "title_canon_sha256": "c01c078f43851f0e4b2812ff947f514ce8750867cde4528ed96cdb8cc8b46eff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02115",
    "kind": "arxiv",
    "version": 1
  }
}