Pith Number

pith:5WKZFBWS

pith:2026:5WKZFBWSY2VUN7B3QSNVTHTUGF

not attested not anchored not stored refs pending

Unified theory of classical and quantum semiparametric efficiency

Mankei Tsang

arxiv:2607.21524 v1 · 2026-07-23 · quant-ph · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WKZFBWSY2VUN7B3QSNVTHTUGF}

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	2026-07-24T01:24:37.729624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed959286d2c6ab46fc3b849b599e74317d734d6c24c25ea3f683f726a0d707d6

Aliases

arxiv: 2607.21524 · arxiv_version: 2607.21524v1 · doi: 10.48550/arxiv.2607.21524 · pith_short_12: 5WKZFBWSY2VU · pith_short_16: 5WKZFBWSY2VUN7B3 · pith_short_8: 5WKZFBWS

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/5WKZFBWSY2VUN7B3QSNVTHTUGF \
  | 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: ed959286d2c6ab46fc3b849b599e74317d734d6c24c25ea3f683f726a0d707d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbd055a55e1d5d8937f2d15d463e1d037848619bed4f3f80ef4443913635bd68",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-23T17:05:24Z",
    "title_canon_sha256": "1eeb2cc788fa42ac04371bc8db5a7cc7b0f6dc6591d1eb6b082d0820a8ff9d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21524",
    "kind": "arxiv",
    "version": 1
  }
}