Pith Number

pith:ZRJUWZ6C

pith:2012:ZRJUWZ6CJALAYZJS2NC5WK6G4W

not attested not anchored not stored refs pending

Generalized oscillator representations for Calogero Hamiltonians

B.L. Voronov, I.V. Tyutin

arxiv:1211.6331 v1 · 2012-11-27 · 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{ZRJUWZ6CJALAYZJS2NC5WK6G4W}

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	2026-05-18T01:52:54.372949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc534b67c248160c6532d345db2bc6e5af3d644517b50e0d506cc8fcc060092d

Aliases

arxiv: 1211.6331 · arxiv_version: 1211.6331v1 · doi: 10.48550/arxiv.1211.6331 · pith_short_12: ZRJUWZ6CJALA · pith_short_16: ZRJUWZ6CJALAYZJS · pith_short_8: ZRJUWZ6C

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/ZRJUWZ6CJALAYZJS2NC5WK6G4W \
  | 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: cc534b67c248160c6532d345db2bc6e5af3d644517b50e0d506cc8fcc060092d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b69bae7cb9eadd5a8c00d3f4888685121e101dcd44efc911d4cae18ad109469c",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-27T15:51:23Z",
    "title_canon_sha256": "03d48b855084d1968dbfe025d2091499a8c7ac8ee1ed9684454556624a983563"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6331",
    "kind": "arxiv",
    "version": 1
  }
}