Pith Number

pith:PIJZYU2F

pith:2014:PIJZYU2FSMVGV2WVSWTPU6SOKB

not attested not anchored not stored refs pending

${\ell}$-oscillators from second-order invariant PDEs of the centrally extended Conformal Galilei Algebras

F. Toppan, N. Aizawa, Z. Kuznetsova

arxiv:1501.00121 v1 · 2014-12-31 · math-ph · hep-th · 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{PIJZYU2FSMVGV2WVSWTPU6SOKB}

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	2026-05-18T01:37:35.272610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a139c5345932a6aead595a6fa7a4e506a211eb44864221654255a3c50e5f5be

Aliases

arxiv: 1501.00121 · arxiv_version: 1501.00121v1 · doi: 10.48550/arxiv.1501.00121 · pith_short_12: PIJZYU2FSMVG · pith_short_16: PIJZYU2FSMVGV2WV · pith_short_8: PIJZYU2F

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/PIJZYU2FSMVGV2WVSWTPU6SOKB \
  | 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: 7a139c5345932a6aead595a6fa7a4e506a211eb44864221654255a3c50e5f5be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "379be9ca4c457a68e310e3c3bb466e52fd3825275634db814305ece897f29fd0",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-12-31T12:33:53Z",
    "title_canon_sha256": "d672423b6d9c6f76c9291e06a97a3f34b23fce8402d7bbab6f91686740f5c758"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00121",
    "kind": "arxiv",
    "version": 1
  }
}