Pith Number

pith:74JNA5D2

pith:2011:74JNA5D2STB56SCUZXV4KGW3SR

not attested not anchored not stored refs pending

From infinity to one: The reduction of some mean field games to a global control problem

Olivier Gu\'eant

arxiv:1110.3441 v2 · 2011-10-15 · math.OC · 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{74JNA5D2STB56SCUZXV4KGW3SR}

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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

Discrete Mean Field Games on Finite Graphs as Initial Value Optimization

Receipt and verification

First computed	2026-05-18T04:10:47.894009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff12d0747a94c3df4854cdebc51adb9457e9eb9a215d72ea758016e1ed3704e5

Aliases

arxiv: 1110.3441 · arxiv_version: 1110.3441v2 · doi: 10.48550/arxiv.1110.3441 · pith_short_12: 74JNA5D2STB5 · pith_short_16: 74JNA5D2STB56SCU · pith_short_8: 74JNA5D2

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/74JNA5D2STB56SCUZXV4KGW3SR \
  | 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: ff12d0747a94c3df4854cdebc51adb9457e9eb9a215d72ea758016e1ed3704e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e6c5c475f12ef5d8e21343f8befc5eba4b77e61348f2d430827f5a8f97abd0a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-10-15T22:14:00Z",
    "title_canon_sha256": "9e893f3553695482cc59f4ffc8a51a65cdac326e35994a3b8a10f454b1b6041e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3441",
    "kind": "arxiv",
    "version": 2
  }
}