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Pith Number

pith:D2SA625T

pith:2014:D2SA625TNVYFNKNRBCSLQ7CNWI
not attested not anchored not stored refs pending

Asymptotic description of stochastic neural networks. I - existence of a Large Deviation Principle

James MacLaurin, Olivier Faugeras

arxiv:1407.2457 v1 · 2014-07-09 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{D2SA625TNVYFNKNRBCSLQ7CNWI}

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 2026-05-18T02:48:01.521620Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1ea40f6bb36d7056a9b108a4b87c4db2358c0afa6ba0cffa189cd17cbceaf54b

Aliases

arxiv: 1407.2457 · arxiv_version: 1407.2457v1 · doi: 10.48550/arxiv.1407.2457 · pith_short_12: D2SA625TNVYF · pith_short_16: D2SA625TNVYFNKNR · pith_short_8: D2SA625T
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/D2SA625TNVYFNKNRBCSLQ7CNWI \
  | 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: 1ea40f6bb36d7056a9b108a4b87c4db2358c0afa6ba0cffa189cd17cbceaf54b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8a6b61a782da1d06d8d088b02a6330b7afefcfa594063c03cc53e0741158623b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-09T12:35:51Z",
    "title_canon_sha256": "2b8daef56d5c8800469175b4e9c47456496fa7c3df76d4449e474a0fb08600a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2457",
    "kind": "arxiv",
    "version": 1
  }
}