Pith Number

pith:3553YQHZ

pith:2009:3553YQHZ6NXLRFP6EPWL24RPND

not attested not anchored not stored refs pending

Wigner's Theorem and geometry of extreme positive maps

Giuseppe Marmo, Janusz Grabowski, Marek Kus

arxiv:0904.4589 v2 · 2009-04-29 · math-ph · math.MP · math.QA · 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{3553YQHZ6NXLRFP6EPWL24RPND}

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	2026-05-18T04:08:04.195614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df7bbc40f9f36eb895fe23ecbd722f68fa4311f39cf5f359baa53b7421d971c0

Aliases

arxiv: 0904.4589 · arxiv_version: 0904.4589v2 · doi: 10.48550/arxiv.0904.4589 · pith_short_12: 3553YQHZ6NXL · pith_short_16: 3553YQHZ6NXLRFP6 · pith_short_8: 3553YQHZ

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/3553YQHZ6NXLRFP6EPWL24RPND \
  | 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: df7bbc40f9f36eb895fe23ecbd722f68fa4311f39cf5f359baa53b7421d971c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f1823e059372aac9c44d070681325df9f3f82423e03e570734e0851ce14195a",
    "cross_cats_sorted": [
      "math.MP",
      "math.QA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-04-29T12:01:53Z",
    "title_canon_sha256": "9fb39d5a2b029ca939730fcb43675e7ece5049a2dba0f5044611683858caa0e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4589",
    "kind": "arxiv",
    "version": 2
  }
}