Pith Number

pith:AUAO2KN4

pith:2010:AUAO2KN4GRO4TFO6N25KTCOGAM

not attested not anchored not stored refs pending

Some Properties of an Infinite Family of Deformations of the Harmonic Oscillator

C. Quesne

arxiv:1012.3357 v2 · 2010-12-15 · 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{AUAO2KN4GRO4TFO6N25KTCOGAM}

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	2026-05-18T02:04:24.417127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0500ed29bc345dc995de6ebaa989c6030ffb1aebb7ad940c36a12ab6f36c6a04

Aliases

arxiv: 1012.3357 · arxiv_version: 1012.3357v2 · doi: 10.48550/arxiv.1012.3357 · pith_short_12: AUAO2KN4GRO4 · pith_short_16: AUAO2KN4GRO4TFO6 · pith_short_8: AUAO2KN4

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/AUAO2KN4GRO4TFO6N25KTCOGAM \
  | 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: 0500ed29bc345dc995de6ebaa989c6030ffb1aebb7ad940c36a12ab6f36c6a04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d57b97920ad78f44f0b9eb5f0785f35557da97f2f037bbe6e095e5c82f756b2",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-15T15:09:29Z",
    "title_canon_sha256": "bea3dc5cfa25bd42c0d0489c16ef7ce55228ed797c06fc1433e1be2d5e32427b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3357",
    "kind": "arxiv",
    "version": 2
  }
}