Pith Number

pith:W6JTPEFJ

pith:2026:W6JTPEFJ3J6U2XHHV2GSNDRVOU

not attested not anchored not stored refs pending

Same Architecture, Different Capacity: Optimizer-Induced Spectral Scaling Laws

Brandon Reagen, Nandan Kumar Jha

arxiv:2605.21803 v1 · 2026-05-20 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W6JTPEFJ3J6U2XHHV2GSNDRVOU}

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	2026-05-22T01:03:33.150309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7933790a9da7d4d5ce7ae8d268e35750c297a97a6207b759461042a6ea0f112

Aliases

arxiv: 2605.21803 · arxiv_version: 2605.21803v1 · doi: 10.48550/arxiv.2605.21803 · pith_short_12: W6JTPEFJ3J6U · pith_short_16: W6JTPEFJ3J6U2XHH · pith_short_8: W6JTPEFJ

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/W6JTPEFJ3J6U2XHHV2GSNDRVOU \
  | 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: b7933790a9da7d4d5ce7ae8d268e35750c297a97a6207b759461042a6ea0f112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a312ce39f7ad166de44e2162e7c2aad4b8ed8c7624f2ef0c1f2a232a89c163dd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-20T23:00:34Z",
    "title_canon_sha256": "b9b2cde9cb9354eda187880de97b4015e0c307f25da8e37d1f7ad889e4d6297d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21803",
    "kind": "arxiv",
    "version": 1
  }
}