Pith Number

pith:ZJAF5KVO

pith:2012:ZJAF5KVOLEPKHGZKJX6ODTFKSD

not attested not anchored not stored refs pending

Invariant measures on multimode quantum Gaussian states

A. De Pasquale, C. Lupo, G. Florio, P. Facchi, S. Mancini, S. Pascazio

arxiv:1202.2456 v2 · 2012-02-11 · 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{ZJAF5KVOLEPKHGZKJX6ODTFKSD}

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	2026-05-18T03:37:19.074773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca405eaaae591ea39b2a4dfce1ccaa90d23c21ae8fbf25270b4dd8c4f835ecea

Aliases

arxiv: 1202.2456 · arxiv_version: 1202.2456v2 · doi: 10.48550/arxiv.1202.2456 · pith_short_12: ZJAF5KVOLEPK · pith_short_16: ZJAF5KVOLEPKHGZK · pith_short_8: ZJAF5KVO

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/ZJAF5KVOLEPKHGZKJX6ODTFKSD \
  | 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: ca405eaaae591ea39b2a4dfce1ccaa90d23c21ae8fbf25270b4dd8c4f835ecea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2b47d976f249541168d7006766b98878c671f723dc8c727c0c2999ab998cb5b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-02-11T17:43:04Z",
    "title_canon_sha256": "ad9085b7e1a47a7ffcf765dd739e55b579fccb8609a6f5178dfa1435b68b314f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2456",
    "kind": "arxiv",
    "version": 2
  }
}