Pith Number

pith:Q5EU2T5S

pith:2026:Q5EU2T5SEDKURGJVORSBOF3FBY

not attested not anchored not stored refs pending

Effective Covariance Dynamics in Solvable High-Dimensional GANs

Andrew Bond, Zafer Do\u{g}an

arxiv:2606.27246 v1 · 2026-06-25 · 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{Q5EU2T5SEDKURGJVORSBOF3FBY}

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	2026-06-26T01:16:16.328938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87494d4fb220d548993574641717650e34b7276de88f7e89380e7e06302a424f

Aliases

arxiv: 2606.27246 · arxiv_version: 2606.27246v1 · doi: 10.48550/arxiv.2606.27246 · pith_short_12: Q5EU2T5SEDKU · pith_short_16: Q5EU2T5SEDKURGJV · pith_short_8: Q5EU2T5S

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/Q5EU2T5SEDKURGJVORSBOF3FBY \
  | 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: 87494d4fb220d548993574641717650e34b7276de88f7e89380e7e06302a424f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e26fce60ad21040b68d4b4dc8944895a2ec19de779d0cb92a5e46d60a2f1b25a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-25T16:33:54Z",
    "title_canon_sha256": "0f6f8d573b79534e68d2b0f2066323eebf15541118d7bf01c1b6a08d720e0faa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27246",
    "kind": "arxiv",
    "version": 1
  }
}