Pith Number

pith:V52I6CA4

pith:2017:V52I6CA4PW4SVMOD2F5IQGISPY

not attested not anchored not stored refs pending

Concentration of ground states in stationary Mean-Field Games systems

Annalisa Cesaroni, Marco Cirant

arxiv:1705.10741 v4 · 2017-05-30 · 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{V52I6CA4PW4SVMOD2F5IQGISPY}

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	2026-05-18T00:03:09.818480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af748f081c7db92ab1c3d17a8819127e0ad0e7472beb942578ec9654c81cc336

Aliases

arxiv: 1705.10741 · arxiv_version: 1705.10741v4 · doi: 10.48550/arxiv.1705.10741 · pith_short_12: V52I6CA4PW4S · pith_short_16: V52I6CA4PW4SVMOD · pith_short_8: V52I6CA4

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/V52I6CA4PW4SVMOD2F5IQGISPY \
  | 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: af748f081c7db92ab1c3d17a8819127e0ad0e7472beb942578ec9654c81cc336

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "357b0b12901b2da7bbef998ae9118d1bd0080017d6d72536c06a85fb9bb69daa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-30T16:50:15Z",
    "title_canon_sha256": "663e8e5f980084fb83da8c9c99f83f06942582fbf6e3644a047e68d826820346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10741",
    "kind": "arxiv",
    "version": 4
  }
}