Pith Number

pith:RDPTCJQV

pith:2018:RDPTCJQV4DB7OHHF2XYWR5IPPK

not attested not anchored not stored refs pending

The variational structure and time-periodic solutions for mean-field games systems

Levon Nurbekyan, Marco Cirant

arxiv:1804.08943 v1 · 2018-04-24 · 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{RDPTCJQV4DB7OHHF2XYWR5IPPK}

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

Convergence of Potential Mean-Field Games via Lyapunov Methods

Receipt and verification

First computed	2026-05-18T00:17:36.834630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88df312615e0c3f71ce5d5f168f50f7abb6b80bc1a7d2a257a58212b64c4ad91

Aliases

arxiv: 1804.08943 · arxiv_version: 1804.08943v1 · doi: 10.48550/arxiv.1804.08943 · pith_short_12: RDPTCJQV4DB7 · pith_short_16: RDPTCJQV4DB7OHHF · pith_short_8: RDPTCJQV

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/RDPTCJQV4DB7OHHF2XYWR5IPPK \
  | 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: 88df312615e0c3f71ce5d5f168f50f7abb6b80bc1a7d2a257a58212b64c4ad91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68b17550aa76f103f69b959d02571ea56b662353261c3196693abdd36dd0c53d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-24T10:19:54Z",
    "title_canon_sha256": "9ab5a845b1337a20698c6e9b5dab550e4ec8ddd234a29807d9152951cce014f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08943",
    "kind": "arxiv",
    "version": 1
  }
}