Pith Number

pith:ERGUPP2K

pith:2025:ERGUPP2KDCMWKJLQBX4YDSM6J4

not attested not anchored not stored refs pending

Towards an Optimal Control Perspective of ResNet Training

Asja Fischer, Jens P\"uttschneider, Simon Heilig, Timm Faulwasser

arxiv:2506.21453 v1 · 2025-06-26 · cs.LG · cs.SY · eess.SY · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ERGUPP2KDCMWKJLQBX4YDSM6J4}

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	2026-07-05T11:27:46.147102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

244d47bf4a18996525700df981c99e4f25b4093639501bb38c2b2b1398565ba2

Aliases

arxiv: 2506.21453 · arxiv_version: 2506.21453v1 · doi: 10.48550/arxiv.2506.21453 · pith_short_12: ERGUPP2KDCMW · pith_short_16: ERGUPP2KDCMWKJLQ · pith_short_8: ERGUPP2K

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/ERGUPP2KDCMWKJLQBX4YDSM6J4 \
  | 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: 244d47bf4a18996525700df981c99e4f25b4093639501bb38c2b2b1398565ba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f923d6ec393fd7d6251733961e741d969549e09e0541df15f70e4cc28bdb2044",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-26T16:34:47Z",
    "title_canon_sha256": "b90b18e732a9182443215173520d8a0e7914a31369fa74574908243d2ec4e0c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21453",
    "kind": "arxiv",
    "version": 1
  }
}