Pith Number

pith:MZYJLAFA

pith:2011:MZYJLAFAFSCJAZY5XHJKT4VNDJ

not attested not anchored not stored refs pending

Random Unitary Models and their Localization Properties

Alain Joye

arxiv:1105.0097 v1 · 2011-04-30 · 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{MZYJLAFAFSCJAZY5XHJKT4VNDJ}

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	2026-05-18T04:23:12.502684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66709580a02c8490671db9d2a9f2ad1a7e32a7df014b1c36ba69b4bfded34098

Aliases

arxiv: 1105.0097 · arxiv_version: 1105.0097v1 · doi: 10.48550/arxiv.1105.0097 · pith_short_12: MZYJLAFAFSCJ · pith_short_16: MZYJLAFAFSCJAZY5 · pith_short_8: MZYJLAFA

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/MZYJLAFAFSCJAZY5XHJKT4VNDJ \
  | 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: 66709580a02c8490671db9d2a9f2ad1a7e32a7df014b1c36ba69b4bfded34098

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06733ac7ae3b5899c206105c1e91eb21a5a9095064b578a4fdd3e1a317b5cb8b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-30T16:56:37Z",
    "title_canon_sha256": "68e1fbdc2534c2cad8a88c881f3df0a10f89ae5c9c79a1450db9b1dc5e56ed93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0097",
    "kind": "arxiv",
    "version": 1
  }
}