Pith Number

pith:QFNA3EKK

pith:2022:QFNA3EKKU7IE6JJAPJI2JM45OG

not attested not anchored not stored refs pending

On an inverse boundary problem for mean field games

Hongyu Liu, Shen Zhang

arxiv:2212.09110 v2 · 2022-12-18 · math.AP · 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{QFNA3EKKU7IE6JJAPJI2JM45OG}

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.

Cited by

1 paper in Pith

Truncated Differentiation Through Primal-Dual Solvers for Inverse Potential Mean-Field Games

Receipt and verification

First computed	2026-07-05T05:26:59.543666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

815a0d914aa7d04f25207a51a4b39d71be6154d8f496a4314c4fc262b2536733

Aliases

arxiv: 2212.09110 · arxiv_version: 2212.09110v2 · doi: 10.48550/arxiv.2212.09110 · pith_short_12: QFNA3EKKU7IE · pith_short_16: QFNA3EKKU7IE6JJA · pith_short_8: QFNA3EKK

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/QFNA3EKKU7IE6JJAPJI2JM45OG \
  | 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: 815a0d914aa7d04f25207a51a4b39d71be6154d8f496a4314c4fc262b2536733

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfd3d2573861de8925dc9f5d5ca344b0e11b53d6d25699cec071c596ef34aa15",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-12-18T15:31:35Z",
    "title_canon_sha256": "2b7bb5c5a828a10c04a2b3fc99c6438bb860ee061cc4d45d56f12750e78d7ed8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.09110",
    "kind": "arxiv",
    "version": 2
  }
}