Pith Number

pith:IKUIU4JJ

pith:2012:IKUIU4JJSDHVJWCJ4PQTZQPZVP

not attested not anchored not stored refs pending

Characterization of informational completeness for covariant phase space observables

Jukka Kiukas, Jussi Schultz, Pekka Lahti, Reinhard F. Werner

arxiv:1204.3188 v1 · 2012-04-14 · 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{IKUIU4JJSDHVJWCJ4PQTZQPZVP}

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	2026-05-18T01:57:52.479809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42a88a712990cf54d849e3e13cc1f9abeee017f158a4ed098e0d12ce82a9f809

Aliases

arxiv: 1204.3188 · arxiv_version: 1204.3188v1 · doi: 10.48550/arxiv.1204.3188 · pith_short_12: IKUIU4JJSDHV · pith_short_16: IKUIU4JJSDHVJWCJ · pith_short_8: IKUIU4JJ

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/IKUIU4JJSDHVJWCJ4PQTZQPZVP \
  | 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: 42a88a712990cf54d849e3e13cc1f9abeee017f158a4ed098e0d12ce82a9f809

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "249358aced8dad5a67c1a5bde3c9204b016a695d0bc6704a039a8e277040447c",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-14T17:21:20Z",
    "title_canon_sha256": "982ddd5374916ab5d97c80b3ec9bc201e4b08f28bf85aa22d1349d641766f263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3188",
    "kind": "arxiv",
    "version": 1
  }
}