Pith Number

pith:YFFXT2TA

pith:2012:YFFXT2TA3RALNND2OI2TFOF2TC

not attested not anchored not stored refs pending

Entropic trade-off relations for quantum operations

Karol \.Zyczkowski, {\L}ukasz Rudnicki, Wojciech Roga, Zbigniew Pucha{\l}a

arxiv:1206.2536 v3 · 2012-06-12 · 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{YFFXT2TA3RALNND2OI2TFOF2TC}

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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.

Cited by

1 paper in Pith

Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition

Receipt and verification

First computed	2026-05-18T03:25:04.264023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c14b79ea60dc40b6b47a723532b8ba988f6583abbf7a8a540cc27964245d67fc

Aliases

arxiv: 1206.2536 · arxiv_version: 1206.2536v3 · doi: 10.48550/arxiv.1206.2536 · pith_short_12: YFFXT2TA3RAL · pith_short_16: YFFXT2TA3RALNND2 · pith_short_8: YFFXT2TA

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/YFFXT2TA3RALNND2OI2TFOF2TC \
  | 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: c14b79ea60dc40b6b47a723532b8ba988f6583abbf7a8a540cc27964245d67fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b4afd33ed08706379b91b9bf1e108e700f22d5ebeb5f357761ad6ec771ba968",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-06-12T14:04:18Z",
    "title_canon_sha256": "06aef1fffadb363b86b3a9dd5f6598f49df1ea259640e55874e1843655d137d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2536",
    "kind": "arxiv",
    "version": 3
  }
}