Pith Number

pith:TWX3GGK4

pith:2021:TWX3GGK4HJCIDSA4MOLS36ISET

not attested not anchored not stored refs pending

Fully Coupled Nonlocal Quasilinear Forward-Backward Parabolic Equations Arising from Mean Field Games

Shanjian Tang, Ziyu Huang

arxiv:2105.13213 v3 · 2021-05-27 · math.PR · math.OC

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWX3GGK4HJCIDSA4MOLS36ISET}

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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.

Cited by

1 paper in Pith

On Mean Field Monotonicity Conditions from Control Theoretical Perspective

Receipt and verification

First computed	2026-07-05T05:23:56.079650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dafb3195c3a4481c81c63972df91224c3af2f2e3eef3ae6916d236b73eb005d

Aliases

arxiv: 2105.13213 · arxiv_version: 2105.13213v3 · doi: 10.48550/arxiv.2105.13213 · pith_short_12: TWX3GGK4HJCI · pith_short_16: TWX3GGK4HJCIDSA4 · pith_short_8: TWX3GGK4

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/TWX3GGK4HJCIDSA4MOLS36ISET \
  | 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: 9dafb3195c3a4481c81c63972df91224c3af2f2e3eef3ae6916d236b73eb005d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7b0c69f3100b57685e20e5ce39cf9cac9fbb7f24ed3c652f4cb7f8d9afc8d97",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-05-27T15:00:57Z",
    "title_canon_sha256": "7dc73d1753f0e3dced4ab91eea38aa44aa5a8b9db6d4d0069fb2611ef386791b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.13213",
    "kind": "arxiv",
    "version": 3
  }
}