Pith Number

pith:B4DXWRUE

pith:2026:B4DXWRUEXIPKSQF2NLCXMIIZXA

not attested not anchored not stored refs pending

A Three-Point Continuous-Variable Quantum MacWilliams Identity

Yinzi Xiao

arxiv:2607.14920 v1 · 2026-07-16 · 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{B4DXWRUEXIPKSQF2NLCXMIIZXA}

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	2026-07-17T01:21:58.793698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f077b4684ba1ea940ba6ac5762119b82d31ca608b531465aafb5b9cb4c4245e

Aliases

arxiv: 2607.14920 · arxiv_version: 2607.14920v1 · doi: 10.48550/arxiv.2607.14920 · pith_short_12: B4DXWRUEXIPK · pith_short_16: B4DXWRUEXIPKSQF2 · pith_short_8: B4DXWRUE

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/B4DXWRUEXIPKSQF2NLCXMIIZXA \
  | 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: 0f077b4684ba1ea940ba6ac5762119b82d31ca608b531465aafb5b9cb4c4245e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7ec2eeb2e607a9a2a96a644731ecba2ddb9dfc2f53559db7f3f8e24752c3b03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-16T12:38:52Z",
    "title_canon_sha256": "ea0a09d20a1a104d388b960779e9b16156e3d5bdffb2fcbdfabae90c22c4be97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14920",
    "kind": "arxiv",
    "version": 1
  }
}