Pith Number

pith:2RZEZVC2

pith:2010:2RZEZVC2LC42EWBL5SLOE2ASGK

not attested not anchored not stored refs pending

Quantum counterparts of VII$_{a}$, III$_{a=1}$, VI$_{a\neq1}$ over harmonic oscillator

E. Paal, J. Virkepu

arxiv:1004.3122 v1 · 2010-04-19 · math-ph · hep-th · 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{2RZEZVC2LC42EWBL5SLOE2ASGK}

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	2026-05-18T02:54:54.584075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4724cd45a58b9a2582bec96e2681232b3db6be2e66c0f625a63a35a21402b8a

Aliases

arxiv: 1004.3122 · arxiv_version: 1004.3122v1 · doi: 10.48550/arxiv.1004.3122 · pith_short_12: 2RZEZVC2LC42 · pith_short_16: 2RZEZVC2LC42EWBL · pith_short_8: 2RZEZVC2

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/2RZEZVC2LC42EWBL5SLOE2ASGK \
  | 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: d4724cd45a58b9a2582bec96e2681232b3db6be2e66c0f625a63a35a21402b8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "985b29a56b2d5bebe8a13d511e5b7dc2e946b82a6f815ca1f75d4c91a01f2c94",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-04-19T08:32:06Z",
    "title_canon_sha256": "ef9cb244c92f5566a9632a215877a6f162b7eefe4826c9ede6ce11ae2acfd48b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3122",
    "kind": "arxiv",
    "version": 1
  }
}