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Pith Number

pith:BONJVMMQ

pith:2014:BONJVMMQJRCOWFAXB26AHJ666X
not attested not anchored not stored refs pending

Existence for stationary mean field games with quadratic Hamiltonians with congestion

Diogo A. Gomes, Hiroyoshi Mitake

arxiv:1407.8267 v1 · 2014-07-31 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BONJVMMQJRCOWFAXB26AHJ666X}

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 2026-05-18T02:46:05.497943Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0b9a9ab1904c44eb14170ebc03a7def5d2d073b8f6599afa9be551769f228e67

Aliases

arxiv: 1407.8267 · arxiv_version: 1407.8267v1 · doi: 10.48550/arxiv.1407.8267 · pith_short_12: BONJVMMQJRCO · pith_short_16: BONJVMMQJRCOWFAX · pith_short_8: BONJVMMQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BONJVMMQJRCOWFAXB26AHJ666X \
  | 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: 0b9a9ab1904c44eb14170ebc03a7def5d2d073b8f6599afa9be551769f228e67
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e5aa6e2b9d1fcd269cf79891aca51e03a725488bb2055bf10480cb5f666cd133",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-31T03:37:02Z",
    "title_canon_sha256": "a7ff1ad6e95e68a00b69df4ccdaa96366a1c2dd189ea6a11da6f42e70a2c2fd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8267",
    "kind": "arxiv",
    "version": 1
  }
}