Pith Number

pith:PI6XYXGA

pith:2012:PI6XYXGAT4VJE6766T6QTXS55O

not attested not anchored not stored refs pending

Continuous time finite state mean field games

Diogo A. Gomes, Joana Mohr, Rafael R. Souza

arxiv:1203.3173 v1 · 2012-03-14 · math.OC · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PI6XYXGAT4VJE6766T6QTXS55O}

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	2026-05-18T01:32:35.224954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3d7c5cc09f2a927bfef4fd09de5debb2110d4719dccef8f4d9df1b5cad8569

Aliases

arxiv: 1203.3173 · arxiv_version: 1203.3173v1 · doi: 10.48550/arxiv.1203.3173 · pith_short_12: PI6XYXGAT4VJ · pith_short_16: PI6XYXGAT4VJE676 · pith_short_8: PI6XYXGA

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/PI6XYXGAT4VJE6766T6QTXS55O \
  | 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: 7a3d7c5cc09f2a927bfef4fd09de5debb2110d4719dccef8f4d9df1b5cad8569

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d77d7d9e820658a39eb207687937bcd08144b3e1857e71b4b831a45383f04383",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-03-14T18:45:53Z",
    "title_canon_sha256": "daf952569e7b99b40ce90a2982156a5b6c341d737fdab869881fc608295400eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3173",
    "kind": "arxiv",
    "version": 1
  }
}