Pith Number

pith:HY3UMWBN

pith:2017:HY3UMWBNMIZ6TY3MM2Y4ZTJDO3

not attested not anchored not stored refs pending

On stationary fractional Mean Field Games

Annalisa Cesaroni, Enrico Valdinoci, Marco Cirant, Matteo Novaga, Serena Dipierro

arxiv:1705.10123 v1 · 2017-05-29 · 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{HY3UMWBNMIZ6TY3MM2Y4ZTJDO3}

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	2026-05-18T00:43:31.916019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e3746582d6233e9e36c66b1cccd2376fc994aeedea8183fef63c83fc89def87

Aliases

arxiv: 1705.10123 · arxiv_version: 1705.10123v1 · doi: 10.48550/arxiv.1705.10123 · pith_short_12: HY3UMWBNMIZ6 · pith_short_16: HY3UMWBNMIZ6TY3M · pith_short_8: HY3UMWBN

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/HY3UMWBNMIZ6TY3MM2Y4ZTJDO3 \
  | 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: 3e3746582d6233e9e36c66b1cccd2376fc994aeedea8183fef63c83fc89def87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "931d0233d04330d205417d5e94ee75ef55cb3ee7629a980fa29f8de8d488a1cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-29T11:17:31Z",
    "title_canon_sha256": "9014cde213ec679cc45cc609de6fb2e93372c380c985c2f4ec6a6ec0a6061c8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10123",
    "kind": "arxiv",
    "version": 1
  }
}