Pith Number

pith:X5DMONB3

pith:2020:X5DMONB3AFCSZPWOF6ITIQNXDH

not attested not anchored not stored refs pending

A quadratic Mean Field Games model for the Langevin equation

Fabio Camilli

arxiv:2007.10620 v3 · 2020-07-21 · math.AP · 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{X5DMONB3AFCSZPWOF6ITIQNXDH}

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	2026-07-05T02:05:41.997849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf46c7343b01452cbece2f913441b719f52c432e811e622762624637b9d34284

Aliases

arxiv: 2007.10620 · arxiv_version: 2007.10620v3 · doi: 10.48550/arxiv.2007.10620 · pith_short_12: X5DMONB3AFCS · pith_short_16: X5DMONB3AFCSZPWO · pith_short_8: X5DMONB3

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/X5DMONB3AFCSZPWOF6ITIQNXDH \
  | 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: bf46c7343b01452cbece2f913441b719f52c432e811e622762624637b9d34284

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78e81509b9ee1590c2c0031bde8875d2da2835c499b4f497b04fcea4f1d84925",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-07-21T06:46:29Z",
    "title_canon_sha256": "559da86eb7981f0dae14745c8e8a9151215452778881485a915772a1d2a2a607"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.10620",
    "kind": "arxiv",
    "version": 3
  }
}