Pith Number

pith:KQGGXPKK

pith:2025:KQGGXPKKRMY24L52B7JCNDDGNA

not attested not anchored not stored refs pending

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective

Claudio Altafini, Joel Wendin

arxiv:2511.10362 v1 · 2025-11-13 · cs.LG · cs.SY · eess.SY · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQGGXPKKRMY24L52B7JCNDDGNA}

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	2026-06-05T01:15:17.785425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

540c6bbd4a8b31ae2fba0fd2268c66683615cad560f3111c37ea3190eb45506f

Aliases

arxiv: 2511.10362 · arxiv_version: 2511.10362v1 · doi: 10.48550/arxiv.2511.10362 · pith_short_12: KQGGXPKKRMY2 · pith_short_16: KQGGXPKKRMY24L52 · pith_short_8: KQGGXPKK

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/KQGGXPKKRMY24L52B7JCNDDGNA \
  | 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: 540c6bbd4a8b31ae2fba0fd2268c66683615cad560f3111c37ea3190eb45506f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "854aeaed83929d5c7c26eaf05aea5a1f26758428d1add5b5f19d5cc775fa7543",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-11-13T14:39:32Z",
    "title_canon_sha256": "3db7582c67b0b244596e0521f13ed5eff8612d5e2ec4e01be78009daab9abaf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.10362",
    "kind": "arxiv",
    "version": 1
  }
}