Pith Number

pith:SNY5PEE5

pith:2026:SNY5PEE5KZDLXEMY3J4M5FAMIY

not attested not anchored not stored refs pending

A Structure Theorem for Phase-Space Representations of Continuous-Variable Quantum Error-Correcting Codes

Enrico Bozzetto, Jonte R. Hance

arxiv:2607.02164 v1 · 2026-07-02 · 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{SNY5PEE5KZDLXEMY3J4M5FAMIY}

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	2026-07-03T01:17:43.797608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9371d7909d5646bb9198da78ce940c461a9ecf12846551e2870d4f063b936c84

Aliases

arxiv: 2607.02164 · arxiv_version: 2607.02164v1 · doi: 10.48550/arxiv.2607.02164 · pith_short_12: SNY5PEE5KZDL · pith_short_16: SNY5PEE5KZDLXEMY · pith_short_8: SNY5PEE5

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/SNY5PEE5KZDLXEMY3J4M5FAMIY \
  | 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: 9371d7909d5646bb9198da78ce940c461a9ecf12846551e2870d4f063b936c84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3abbaea8147ffcc684925894eae1f66130cd30227fbc2a8b348e35c69e35c56d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-02T13:35:10Z",
    "title_canon_sha256": "655455f338df4b4126e3da0055526b3f41e7a1a4e9944180df114a755239abef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02164",
    "kind": "arxiv",
    "version": 1
  }
}