Pith Number

pith:X2TFVSP2

pith:2026:X2TFVSP2II5KSIYANWLBPOYV2E

not attested not anchored not stored refs pending

On a Central Limit Theorem and Sanov's principle for quantum neural networks

Anderson Melchor Hernandez

arxiv:2606.21721 v1 · 2026-06-19 · quant-ph · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2TFVSP2II5KSIYANWLBPOYV2E}

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	2026-06-23T01:13:20.692326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bea65ac9fa423aa923006d9617bb15d134c3cd630eb0e605bf0a5e4c47083f44

Aliases

arxiv: 2606.21721 · arxiv_version: 2606.21721v1 · doi: 10.48550/arxiv.2606.21721 · pith_short_12: X2TFVSP2II5K · pith_short_16: X2TFVSP2II5KSIYA · pith_short_8: X2TFVSP2

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/X2TFVSP2II5KSIYANWLBPOYV2E \
  | 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: bea65ac9fa423aa923006d9617bb15d134c3cd630eb0e605bf0a5e4c47083f44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "056e03bd59fa218c3198278ebbe3f5d3e5711431270f54036e516b0352a01505",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-19T20:10:41Z",
    "title_canon_sha256": "3a83f22c303befbc3ca0a7d1e369787de4f8f151ea7d96f1d35ffc6f1496b3c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21721",
    "kind": "arxiv",
    "version": 1
  }
}