Pith Number

pith:ICW4IKPU

pith:2010:ICW4IKPUG6DM6SCY3VRDG6FSLH

not attested not anchored not stored refs pending

A composite parameterization of unitary groups, density matrices and subspaces

Beatrix C. Hiesmayr, Christoph Spengler, Marcus Huber

arxiv:1004.5252 v2 · 2010-04-29 · 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{ICW4IKPUG6DM6SCY3VRDG6FSLH}

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	2026-05-18T04:42:12.315394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40adc429f43786cf4858dd623378b259ecfff3961a9e804d6a20eabccfdd9f2e

Aliases

arxiv: 1004.5252 · arxiv_version: 1004.5252v2 · doi: 10.48550/arxiv.1004.5252 · pith_short_12: ICW4IKPUG6DM · pith_short_16: ICW4IKPUG6DM6SCY · pith_short_8: ICW4IKPU

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/ICW4IKPUG6DM6SCY3VRDG6FSLH \
  | 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: 40adc429f43786cf4858dd623378b259ecfff3961a9e804d6a20eabccfdd9f2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b61f01910e4f4f81bf3a67fa1e0f20081d58947ef341ea719b39f34d45b027ce",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-04-29T11:40:39Z",
    "title_canon_sha256": "d1b9ab7735e4976e5d239074244310eca18e13db576c978a7b18072bcc72e33a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5252",
    "kind": "arxiv",
    "version": 2
  }
}