Pith Number

pith:PP3VZVCC

pith:2025:PP3VZVCCDBW7FSUGKYME3DYGEH

not attested not anchored not stored refs pending

Evaluating Cumulative Spectral Gradient as a Complexity Measure

Abdul Ghani Naim, Ajaz Ahmad Bhat, Haji Gul

arxiv:2509.02399 v1 · 2025-09-02 · cs.LG · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PP3VZVCCDBW7FSUGKYME3DYGEH}

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	2026-07-05T12:03:37.837595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf75cd442186df2ca8656184d8f0621edc5d1d3937ccc42dac26bc1689dd718

Aliases

arxiv: 2509.02399 · arxiv_version: 2509.02399v1 · doi: 10.48550/arxiv.2509.02399 · pith_short_12: PP3VZVCCDBW7 · pith_short_16: PP3VZVCCDBW7FSUG · pith_short_8: PP3VZVCC

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/PP3VZVCCDBW7FSUGKYME3DYGEH \
  | 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: 7bf75cd442186df2ca8656184d8f0621edc5d1d3937ccc42dac26bc1689dd718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0128a7e0c816001f4cf9aaafb3a80fcc57d8c39066c4a9a54054894465cb48ac",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-09-02T15:10:25Z",
    "title_canon_sha256": "af210e98426172d4aa53c75956926f8a00edd51809a4828751309c8b827fa554"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02399",
    "kind": "arxiv",
    "version": 1
  }
}