Pith Number

pith:TBU2LZNQ

pith:2012:TBU2LZNQ3CTBW4PT2USJYV4D4E

not attested not anchored not stored refs pending

The Noncommutative Harmonic Oscillator based in Simplectic Representation of Galilei Group

A. E. Santana, R. G. G. Amorim, S. C. Ulhoa

arxiv:1208.6348 v2 · 2012-08-31 · 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{TBU2LZNQ3CTBW4PT2USJYV4D4E}

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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	2026-05-18T03:31:06.650190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9869a5e5b0d8a61b71f3d5249c5783e12e1bf8e5666ea008f16ed5e09ee88460

Aliases

arxiv: 1208.6348 · arxiv_version: 1208.6348v2 · doi: 10.48550/arxiv.1208.6348 · pith_short_12: TBU2LZNQ3CTB · pith_short_16: TBU2LZNQ3CTBW4PT · pith_short_8: TBU2LZNQ

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/TBU2LZNQ3CTBW4PT2USJYV4D4E \
  | 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: 9869a5e5b0d8a61b71f3d5249c5783e12e1bf8e5666ea008f16ed5e09ee88460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5add04f80b84f13e1b54680c659a8ec1acc064037b60844b044669185d9e719",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-31T01:45:58Z",
    "title_canon_sha256": "568772d85de08f232f5fb2176e7b1c221fabf012e76faa2394f6f332e8e7e3fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6348",
    "kind": "arxiv",
    "version": 2
  }
}