Pith Number

pith:JVCKNVKC

pith:2026:JVCKNVKCIGAT5OXS56J2OWIRVS

not attested not anchored not stored refs pending

Learnable yet not simulable: a quantum resource theory of learning models

Dacheng Tao, Xinbiao Wang, Yuxuan Du

arxiv:2608.02325 v1 · 2026-08-03 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JVCKNVKCIGAT5OXS56J2OWIRVS}

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	2026-08-04T02:11:49.136295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d44a6d54241813ebaf2ef93a75911acabf1fc8c174efb7107fd429e89f476e9

Aliases

arxiv: 2608.02325 · arxiv_version: 2608.02325v1 · doi: 10.48550/arxiv.2608.02325 · pith_short_12: JVCKNVKCIGAT · pith_short_16: JVCKNVKCIGAT5OXS · pith_short_8: JVCKNVKC

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/JVCKNVKCIGAT5OXS56J2OWIRVS \
  | 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: 4d44a6d54241813ebaf2ef93a75911acabf1fc8c174efb7107fd429e89f476e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "619181e8fb55fa0c20b518b1ff514188ff103ae26faea6705a924728bf8f915b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-03T14:48:03Z",
    "title_canon_sha256": "f5283d948907b83eb13f88004b26a6a99dcb1a9fda4739ed7364251e9963980f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02325",
    "kind": "arxiv",
    "version": 1
  }
}