Pith Number

pith:DBAVPKNF

pith:2020:DBAVPKNFMUYO3S4MSMXGRBC2GE

not attested not anchored not stored refs pending

A policy iteration method for Mean Field Games

Alessandro Goffi, Fabio Camilli, Simone Cacace

arxiv:2007.04818 v3 · 2020-07-09 · 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{DBAVPKNFMUYO3S4MSMXGRBC2GE}

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	2026-07-05T02:56:23.421721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

184157a9a56530edcb8c932e68845a3100945a89a01f551990b29ec0a030b54f

Aliases

arxiv: 2007.04818 · arxiv_version: 2007.04818v3 · doi: 10.48550/arxiv.2007.04818 · pith_short_12: DBAVPKNFMUYO · pith_short_16: DBAVPKNFMUYO3S4M · pith_short_8: DBAVPKNF

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/DBAVPKNFMUYO3S4MSMXGRBC2GE \
  | 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: 184157a9a56530edcb8c932e68845a3100945a89a01f551990b29ec0a030b54f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5edeb29053cd0e932adee417f525479e5d8c6a1011eb400634e008d4a61410f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-07-09T14:06:59Z",
    "title_canon_sha256": "de20ae0b9fb7b68b8b1aecfcd3b392b224ceeb2cb407cd6fb79b908315b2d89b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.04818",
    "kind": "arxiv",
    "version": 3
  }
}