Pith Number

pith:4TF45KAS

pith:2026:4TF45KASUQEBVXQWXCOLUDG3M7

not attested not anchored not stored refs pending

Dead-Direction Signatures: A Cheap Spectral Reading of Singular Complexity

P. J. Narayanan, Tejas Pradeep Shirodkar

arxiv:2606.21158 v1 · 2026-06-19 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TF45KASUQEBVXQWXCOLUDG3M7}

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.

Cited by

1 paper in Pith

Dead-Direction Conditioners: Gauge-Equivariant Preconditioning for Deep Networks

Receipt and verification

First computed	2026-06-23T01:12:31.901177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4cbcea812a4081ade16b89cba0cdb67ce76799dbf1190d9d7b41e9a8bfda987

Aliases

arxiv: 2606.21158 · arxiv_version: 2606.21158v1 · doi: 10.48550/arxiv.2606.21158 · pith_short_12: 4TF45KASUQEB · pith_short_16: 4TF45KASUQEBVXQW · pith_short_8: 4TF45KAS

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/4TF45KASUQEBVXQWXCOLUDG3M7 \
  | 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: e4cbcea812a4081ade16b89cba0cdb67ce76799dbf1190d9d7b41e9a8bfda987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adaabc559b299cca31cf2b80843b1a5986aaedf4c2db561d1c72891adf4c7c07",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-19T06:49:09Z",
    "title_canon_sha256": "3fa4a3bbac440d0140842c5912742db6298d4ac6f5c0102d66a97fdd1845b498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21158",
    "kind": "arxiv",
    "version": 1
  }
}