Pith Number

pith:BCFNL7GW

pith:2023:BCFNL7GWWOR7VZHURCDDRU7BEY

not attested not anchored not stored refs pending

From Nash Equilibrium to Social Optimum and vice versa: a Mean Field Perspective

Francois Delarue, Gokce Dayanikli, Mathieu Lauriere, Rene Carmona

arxiv:2312.10526 v1 · 2023-12-16 · cs.GT · 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{BCFNL7GWWOR7VZHURCDDRU7BEY}

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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

A Mean Field Game for Capacity Expansion Modeling

Receipt and verification

First computed	2026-07-05T07:25:08.224642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

088ad5fcd6b3a3fae4f4888638d3e12611de2a3109fee43188f2312f38f2c42d

Aliases

arxiv: 2312.10526 · arxiv_version: 2312.10526v1 · doi: 10.48550/arxiv.2312.10526 · pith_short_12: BCFNL7GWWOR7 · pith_short_16: BCFNL7GWWOR7VZHU · pith_short_8: BCFNL7GW

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/BCFNL7GWWOR7VZHURCDDRU7BEY \
  | 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: 088ad5fcd6b3a3fae4f4888638d3e12611de2a3109fee43188f2312f38f2c42d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58aab19ae7abb90cc11f593670375cb991a81bcc51b0bfd32cc1841dc2447eac",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2023-12-16T19:52:39Z",
    "title_canon_sha256": "e8afbb6961b64514fc5ebf6d8c73ad3628ad05d95aa7bac065aaf505e3c97f8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.10526",
    "kind": "arxiv",
    "version": 1
  }
}