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Pith Number

pith:BURTY2YV

pith:2014:BURTY2YVLUJTBZAR4AD6XZZK4O
not attested not anchored not stored refs pending

Time dependent mean-field games with logarithmic nonlinearities

Diogo Aguiar Gomes, Edgard Almeida Pimentel

arxiv:1407.1261 v3 · 2014-07-04 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BURTY2YVLUJTBZAR4AD6XZZK4O}

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 2026-05-18T02:26:10.601155Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0d233c6b155d1330e411e007ebe72ae38929c4327ab68bb6a9f3cfbbcfda3ded

Aliases

arxiv: 1407.1261 · arxiv_version: 1407.1261v3 · doi: 10.48550/arxiv.1407.1261 · pith_short_12: BURTY2YVLUJT · pith_short_16: BURTY2YVLUJTBZAR · pith_short_8: BURTY2YV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BURTY2YVLUJTBZAR4AD6XZZK4O \
  | 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: 0d233c6b155d1330e411e007ebe72ae38929c4327ab68bb6a9f3cfbbcfda3ded
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3c6e1fa7ddd822e63843f7c1892ca4c4b6758ec9225f5a5a901714eca0265a5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-04T15:08:19Z",
    "title_canon_sha256": "6b08248998014b83889528588c8a13ba61dc04883ea2d924c2713c72b34d3a55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1261",
    "kind": "arxiv",
    "version": 3
  }
}