Pith Number

pith:P4R24OFP

pith:2025:P4R24OFPGKTWLBC3JJXMMBYWBL

not attested not anchored not stored refs pending

Gradient flow in the kernel learning problem

Feng Ruan, Yang Li

arxiv:2506.08550 v1 · 2025-06-10 · math.OC · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4R24OFPGKTWLBC3JJXMMBYWBL}

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	2026-07-05T11:19:09.568943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f23ae38af32a765845b4a6ec607160ad16baa6739b635c624923c2ef26558b5

Aliases

arxiv: 2506.08550 · arxiv_version: 2506.08550v1 · doi: 10.48550/arxiv.2506.08550 · pith_short_12: P4R24OFPGKTW · pith_short_16: P4R24OFPGKTWLBC3 · pith_short_8: P4R24OFP

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/P4R24OFPGKTWLBC3JJXMMBYWBL \
  | 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: 7f23ae38af32a765845b4a6ec607160ad16baa6739b635c624923c2ef26558b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28ab80cd1bc6040c3183b8b448960cd3f02fce6ed1169bc2b1e119ec62048a86",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-10T08:16:03Z",
    "title_canon_sha256": "6253251428d283d7388ed8ad52e37d8ffc427a180de2e1feab36658d27e7cd7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08550",
    "kind": "arxiv",
    "version": 1
  }
}