Pith Number

pith:DXI7VGBD

pith:2013:DXI7VGBD4IHN7R5ZLV52422L2W

not attested not anchored not stored refs pending

Whittaker Modules for the Schr\"{o}dinger Algebra

Xiufu Zhang, Yongsheng Cheng

arxiv:1311.2118 v1 · 2013-11-09 · math.RT · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXI7VGBD4IHN7R5ZLV52422L2W}

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	2026-05-18T03:07:33.496830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dd1fa9823e20edfc7b95d7bae6b4bd59e8f8b2e5b6db5c60080f1ec9b422e47

Aliases

arxiv: 1311.2118 · arxiv_version: 1311.2118v1 · doi: 10.48550/arxiv.1311.2118 · pith_short_12: DXI7VGBD4IHN · pith_short_16: DXI7VGBD4IHN7R5Z · pith_short_8: DXI7VGBD

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/DXI7VGBD4IHN7R5ZLV52422L2W \
  | 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: 1dd1fa9823e20edfc7b95d7bae6b4bd59e8f8b2e5b6db5c60080f1ec9b422e47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "959537f73577047c0991cb349842e14a1309a35b87f5a9a2507f91698d8af51a",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-11-09T01:06:20Z",
    "title_canon_sha256": "e2ab6a0fc015c67a1eb31c14dd00acea8f29a2c6bb9d5fdc454b665afd2efeee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2118",
    "kind": "arxiv",
    "version": 1
  }
}