Pith Number

pith:LMX3TCUT

pith:2026:LMX3TCUTEBNKWVH3LBWT53DXLC

not attested not anchored not stored refs pending

Global Convergence and Error Propagation in Neural Gradient Flows: A Riemannian Optimization Framework

Haizhao Yang, Shixin Zheng, Yiwei Wang

arxiv:2605.27779 v1 · 2026-05-26 · math.OC · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMX3TCUTEBNKWVH3LBWT53DXLC}

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	2026-05-28T01:04:48.573816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b2fb98a93205aab54fb586d3eec77588560c4ee08d9b94179d2abeb49f93375

Aliases

arxiv: 2605.27779 · arxiv_version: 2605.27779v1 · doi: 10.48550/arxiv.2605.27779 · pith_short_12: LMX3TCUTEBNK · pith_short_16: LMX3TCUTEBNKWVH3 · pith_short_8: LMX3TCUT

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/LMX3TCUTEBNKWVH3LBWT53DXLC \
  | 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: 5b2fb98a93205aab54fb586d3eec77588560c4ee08d9b94179d2abeb49f93375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaa18464936dbfb86b9e5576dc17f7116a6043770774aebe887d6208af32d8b3",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-26T23:59:07Z",
    "title_canon_sha256": "24c8a0344702995f0a4154d9fb648cd2dceb73aeb8f20706fdc5233af38c9354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27779",
    "kind": "arxiv",
    "version": 1
  }
}