Pith Number

pith:7SANKK55

pith:2026:7SANKK55JF4ATVCAMUAN4D4BOB

not attested not anchored not stored refs pending

Fast and slow mean-field games

Julian Gutierrez Pineda, Peter Tankov, Roxana Dumitrescu

arxiv:2608.03376 v1 · 2026-08-04 · 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{7SANKK55JF4ATVCAMUAN4D4BOB}

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	2026-08-05T01:35:38.244347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc80d52bbd497809d4406500de0f81706fd51c0ea395548ae9094782d2db7d4e

Aliases

arxiv: 2608.03376 · arxiv_version: 2608.03376v1 · doi: 10.48550/arxiv.2608.03376 · pith_short_12: 7SANKK55JF4A · pith_short_16: 7SANKK55JF4ATVCA · pith_short_8: 7SANKK55

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/7SANKK55JF4ATVCAMUAN4D4BOB \
  | 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: fc80d52bbd497809d4406500de0f81706fd51c0ea395548ae9094782d2db7d4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fab7b4734da2b44e785c23dcef3664c06e39b8192874417fd3a6401acd466aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-08-04T09:22:29Z",
    "title_canon_sha256": "8ab42d2c1ab6fa0b29ef35d99e51e8fa0dac382b98eae562626e8c3679267091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03376",
    "kind": "arxiv",
    "version": 1
  }
}