Pith Number

pith:6ILHLPYC

pith:2021:6ILHLPYCBOT3ZKWTANG55CSCJI

not attested not anchored not stored refs pending

Operational applications of the diamond norm and related measures in quantifying the non-physicality of quantum maps

Bartosz Regula, Mile Gu, Ryuji Takagi

arxiv:2102.07773 v3 · 2021-02-15 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ILHLPYCBOT3ZKWTANG55CSCJI}

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	2026-07-05T03:04:03.660658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f21675bf020ba7bcaad3034dde8a424a2ac3c0c3f478398ada5b75a0fdc0cc3b

Aliases

arxiv: 2102.07773 · arxiv_version: 2102.07773v3 · doi: 10.48550/arxiv.2102.07773 · pith_short_12: 6ILHLPYCBOT3 · pith_short_16: 6ILHLPYCBOT3ZKWT · pith_short_8: 6ILHLPYC

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/6ILHLPYCBOT3ZKWTANG55CSCJI \
  | 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: f21675bf020ba7bcaad3034dde8a424a2ac3c0c3f478398ada5b75a0fdc0cc3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a345babb14dff831a9a62f983433056dce2659d45a77d0be40891567458c8eb1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-02-15T19:00:00Z",
    "title_canon_sha256": "f8d73a655d8abb923aabeb6b74a4cc7d6ebaee551f0588af94e517a28a62e264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.07773",
    "kind": "arxiv",
    "version": 3
  }
}