Pith Number

pith:SGXBV66V

pith:2012:SGXBV66V5NSYLXVNBSL4ORKTH4

not attested not anchored not stored refs pending

Complex Covariance

F. Kleefeld (Collab. of CFIF, IST, Lisbon)

arxiv:1209.3472 v1 · 2012-09-16 · math-ph · math.MP · 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{SGXBV66V5NSYLXVNBSL4ORKTH4}

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	2026-05-18T03:45:22.567915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91ae1afbd5eb6585dead0c97c745533f2fee5959069de7b2906ddde9a0aa14b7

Aliases

arxiv: 1209.3472 · arxiv_version: 1209.3472v1 · doi: 10.48550/arxiv.1209.3472 · pith_short_12: SGXBV66V5NSY · pith_short_16: SGXBV66V5NSYLXVN · pith_short_8: SGXBV66V

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/SGXBV66V5NSYLXVNBSL4ORKTH4 \
  | 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: 91ae1afbd5eb6585dead0c97c745533f2fee5959069de7b2906ddde9a0aa14b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c28b67611ad033110546ebef8482fe6553c7974bef9c42b9d4dc9859faf32629",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-16T10:10:58Z",
    "title_canon_sha256": "75172f66890edba4352c26fd7874f882c8b0b30b44477795870f4fd9c960cbb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3472",
    "kind": "arxiv",
    "version": 1
  }
}