Pith Number

pith:HAKMQLQ3

pith:2014:HAKMQLQ3DVG5VEFQGQWP6ABA3V

not attested not anchored not stored refs pending

${\cal D}$-deformed harmonic oscillators

D. Volpe, F. Bagarello, F. Gargano

arxiv:1412.8720 v1 · 2014-12-30 · 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{HAKMQLQ3DVG5VEFQGQWP6ABA3V}

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	2026-05-18T01:41:15.155017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3814c82e1b1d4dda90b0342cff0020dd65a7eb1f100cd88309b16d765946030b

Aliases

arxiv: 1412.8720 · arxiv_version: 1412.8720v1 · doi: 10.48550/arxiv.1412.8720 · pith_short_12: HAKMQLQ3DVG5 · pith_short_16: HAKMQLQ3DVG5VEFQ · pith_short_8: HAKMQLQ3

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/HAKMQLQ3DVG5VEFQGQWP6ABA3V \
  | 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: 3814c82e1b1d4dda90b0342cff0020dd65a7eb1f100cd88309b16d765946030b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f47330d6bdca85bb4bc77535d68e2a745a2be8c4e0c4fc273ac480577bf575f3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-12-30T18:36:11Z",
    "title_canon_sha256": "44aa57821a6c05b6e4cd4a19d6525d682cc082ce67ceb4244ec480a13e13d7b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8720",
    "kind": "arxiv",
    "version": 1
  }
}