Pith Number

pith:KHSNRU2E

pith:2017:KHSNRU2EDH2PTFSB3CJZMVB32I

not attested not anchored not stored refs pending

Uniqueness of solutions in Mean Field Games with several populations and Neumann conditions

Marco Cirant, Martino Bardi

arxiv:1709.02158 v1 · 2017-09-07 · 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{KHSNRU2EDH2PTFSB3CJZMVB32I}

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	2026-05-18T00:35:50.028902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51e4d8d34419f4f99641d89396543bd239d40b111c463b355edcb14610cb85ab

Aliases

arxiv: 1709.02158 · arxiv_version: 1709.02158v1 · doi: 10.48550/arxiv.1709.02158 · pith_short_12: KHSNRU2EDH2P · pith_short_16: KHSNRU2EDH2PTFSB · pith_short_8: KHSNRU2E

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/KHSNRU2EDH2PTFSB3CJZMVB32I \
  | 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: 51e4d8d34419f4f99641d89396543bd239d40b111c463b355edcb14610cb85ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73aea702943cc1265ab5c19c866c73d390357c8d8876d32ca200d2516d5f88db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-07T09:52:26Z",
    "title_canon_sha256": "f062330876a9bb69011a7bf2db59c2f1d916600473c859cb4b24cc945ae05234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02158",
    "kind": "arxiv",
    "version": 1
  }
}