Pith Number

pith:O2HKNKXO

pith:2017:O2HKNKXO6IEK5TNKIZL2TVCJSV

not attested not anchored not stored refs pending

Existence and uniqueness for Mean Field Games with state constraints

Piermarco Cannarsa, Rossana Capuani

arxiv:1711.01063 v2 · 2017-11-03 · 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{O2HKNKXO6IEK5TNKIZL2TVCJSV}

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	2026-05-18T00:31:18.325346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

768ea6aaeef208aecdaa4657a9d44995694d4159cc5c330a6200afbbbf87240d

Aliases

arxiv: 1711.01063 · arxiv_version: 1711.01063v2 · doi: 10.48550/arxiv.1711.01063 · pith_short_12: O2HKNKXO6IEK · pith_short_16: O2HKNKXO6IEK5TNK · pith_short_8: O2HKNKXO

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/O2HKNKXO6IEK5TNKIZL2TVCJSV \
  | 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: 768ea6aaeef208aecdaa4657a9d44995694d4159cc5c330a6200afbbbf87240d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "481cb1d7b082a94d5193a713ef1db0812ee03110eb54a86b0566820af4dbed4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-11-03T08:54:19Z",
    "title_canon_sha256": "e8c9da7e3843734503dbd41721570f39e1f3d339f68d733d1a286944ca58c7d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01063",
    "kind": "arxiv",
    "version": 2
  }
}