Pith Number

pith:W2GNF75Z

pith:2017:W2GNF75ZFX25WWKFNLBA3WRDUX

not attested not anchored not stored refs pending

Energy-constrained diamond norms and their use in quantum information theory

M.E. Shirokov

arxiv:1706.00361 v2 · 2017-06-01 · 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{W2GNF75ZFX25WWKFNLBA3WRDUX}

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	2026-05-18T00:16:09.031065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b68cd2ffb92df5db59456ac20dda23a5d0078e759fe6183081c86bb4ff900c26

Aliases

arxiv: 1706.00361 · arxiv_version: 1706.00361v2 · doi: 10.48550/arxiv.1706.00361 · pith_short_12: W2GNF75ZFX25 · pith_short_16: W2GNF75ZFX25WWKF · pith_short_8: W2GNF75Z

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/W2GNF75ZFX25WWKFNLBA3WRDUX \
  | 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: b68cd2ffb92df5db59456ac20dda23a5d0078e759fe6183081c86bb4ff900c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cde21fe1bee0ab1f33c3ac6d57c3b460b3a52cd8079580f769c90c0524199739",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-06-01T16:03:26Z",
    "title_canon_sha256": "09afb9e046eec66d38f2b07ffaa6b17cf51e4ca7f8b93d0fe25616a61f6f97f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00361",
    "kind": "arxiv",
    "version": 2
  }
}