Pith Number

pith:CGFXPZTQ

pith:2015:CGFXPZTQBWEDQV3XWQUVT23RMI

not attested not anchored not stored refs pending

Entropic inequalities for matrix elements of rotation group irreducible representations

L.A. Markovich, V.I. Man'ko

arxiv:1511.07341 v1 · 2015-11-23 · 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{CGFXPZTQBWEDQV3XWQUVT23RMI}

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	2026-05-18T01:26:11.601945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

118b77e6700d88385777b42959eb71621079e6638ddd509aeec683207e6ab6ff

Aliases

arxiv: 1511.07341 · arxiv_version: 1511.07341v1 · doi: 10.48550/arxiv.1511.07341 · pith_short_12: CGFXPZTQBWED · pith_short_16: CGFXPZTQBWEDQV3X · pith_short_8: CGFXPZTQ

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/CGFXPZTQBWEDQV3XWQUVT23RMI \
  | 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: 118b77e6700d88385777b42959eb71621079e6638ddd509aeec683207e6ab6ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e75a3b008e08aae54fa61fa32024d592f17d5db031ddc0cbb50de0f34489041",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-11-23T17:58:31Z",
    "title_canon_sha256": "d34666e41a08c43048617c5d1f9a6c4f9ff9ea4fc469d319744f2942adf81ae4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07341",
    "kind": "arxiv",
    "version": 1
  }
}