Pith Number

pith:FCVY7DXW

pith:2012:FCVY7DXWJOQ6NFS4JONDJFNKG4

not attested not anchored not stored refs pending

Symmetries of the quantum damped harmonic oscillator

F. Coss\'io, F. F. L\'opez-Ruiz, J. Guerrero, V. Aldaya

arxiv:1210.4058 v1 · 2012-10-15 · 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{FCVY7DXWJOQ6NFS4JONDJFNKG4}

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	2026-05-18T01:53:55.166271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28ab8f8ef64ba1e6965c4b9a3495aa3733034451e1d4b52fe23cf3c5128ab05e

Aliases

arxiv: 1210.4058 · arxiv_version: 1210.4058v1 · doi: 10.48550/arxiv.1210.4058 · pith_short_12: FCVY7DXWJOQ6 · pith_short_16: FCVY7DXWJOQ6NFS4 · pith_short_8: FCVY7DXW

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/FCVY7DXWJOQ6NFS4JONDJFNKG4 \
  | 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: 28ab8f8ef64ba1e6965c4b9a3495aa3733034451e1d4b52fe23cf3c5128ab05e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12158b2304f7eb210680b4882e085a9b4b9c677374cfa979b5974aa4f9d58f1f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-15T14:55:46Z",
    "title_canon_sha256": "60a7f7a8298609d46041c95f0438217da4fa3be223729b94dde6724680a32ae6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4058",
    "kind": "arxiv",
    "version": 1
  }
}