Pith Number

pith:RHF6PAZE

pith:2012:RHF6PAZETQRSGSG3I3CN5OAPFZ

not attested not anchored not stored refs pending

Quantum harmonic oscillator systems with disorder

Bruno Nachtergaele, G\"unter Stolz, Robert Sims

arxiv:1208.2705 v1 · 2012-08-13 · math-ph · math.MP · math.SP · 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{RHF6PAZETQRSGSG3I3CN5OAPFZ}

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	2026-05-18T03:38:02.669121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89cbe783249c232348db46c4deb80f2e6a588095bd6efc7c9685f43c178d296f

Aliases

arxiv: 1208.2705 · arxiv_version: 1208.2705v1 · doi: 10.48550/arxiv.1208.2705 · pith_short_12: RHF6PAZETQRS · pith_short_16: RHF6PAZETQRSGSG3 · pith_short_8: RHF6PAZE

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/RHF6PAZETQRSGSG3I3CN5OAPFZ \
  | 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: 89cbe783249c232348db46c4deb80f2e6a588095bd6efc7c9685f43c178d296f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9802904f5107d7c00c5fa13c75b4a267aa7a2397f4ba2a9f5ebdd115ffe45db1",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-13T20:31:44Z",
    "title_canon_sha256": "d09381698e76e5a617d99f30ed383c25a73e84bfe781e1d0e9ea30af77a1acfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2705",
    "kind": "arxiv",
    "version": 1
  }
}