pith. sign in
Pith Number

pith:YTXUB5FU

pith:2017:YTXUB5FUVPI4JXZQNEVN3LZXPR
not attested not anchored not stored refs pending

An Analytical Formula of Population Gradient for two-layered ReLU network and its Applications in Convergence and Critical Point Analysis

Yuandong Tian

arxiv:1703.00560 v2 · 2017-03-02 · cs.LG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YTXUB5FUVPI4JXZQNEVN3LZXPR}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-18T00:43:43.189158Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c4ef40f4b4abd1c4df30692addaf377c7318e300bdc18cc8ecc879cd95724668

Aliases

arxiv: 1703.00560 · arxiv_version: 1703.00560v2 · doi: 10.48550/arxiv.1703.00560 · pith_short_12: YTXUB5FUVPI4 · pith_short_16: YTXUB5FUVPI4JXZQ · pith_short_8: YTXUB5FU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YTXUB5FUVPI4JXZQNEVN3LZXPR \
  | 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: c4ef40f4b4abd1c4df30692addaf377c7318e300bdc18cc8ecc879cd95724668
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4e799cf8872481112b0dfa447f925a446cbd373fc03f1e6f7b58193c04964400",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2017-03-02T00:15:00Z",
    "title_canon_sha256": "a3462aac42b4ea26f094abc860d97389505e91858d47706afadd01f80b68810f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00560",
    "kind": "arxiv",
    "version": 2
  }
}