Pith Number

pith:OPUG4KD6

pith:2025:OPUG4KD6PBOMDIUAMZ7GTDHT4Q

not attested not anchored not stored refs pending

Existence of Solutions and Selection Problem for Quasi-stationary Contact Mean Field Games

Xiaotian Hu

arxiv:2507.10112 v1 · 2025-07-14 · math.AP · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPUG4KD6PBOMDIUAMZ7GTDHT4Q}

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	2026-07-05T11:36:45.258061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73e86e287e785cc1a280667e698cf3e421b579de0eb4ea685430815c1ad0c000

Aliases

arxiv: 2507.10112 · arxiv_version: 2507.10112v1 · doi: 10.48550/arxiv.2507.10112 · pith_short_12: OPUG4KD6PBOM · pith_short_16: OPUG4KD6PBOMDIUA · pith_short_8: OPUG4KD6

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/OPUG4KD6PBOMDIUAMZ7GTDHT4Q \
  | 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: 73e86e287e785cc1a280667e698cf3e421b579de0eb4ea685430815c1ad0c000

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "706ce9db131e793b742f27a22cf70b8c61969c967684bb713e1e275eaf29c160",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-14T09:57:19Z",
    "title_canon_sha256": "a7e23126ac217351ee8b0725f675e3da1e6c246292b429252366a0e8c8c102f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10112",
    "kind": "arxiv",
    "version": 1
  }
}