Pith Number

pith:CLNE76IV

pith:2016:CLNE76IVFWSI42TGX45MIH2YXD

not attested not anchored not stored refs pending

Mackey analogy via $\mathcal{D}$-modules in the example of $SL(2,\mathbb{R})$

Qijun Tan, Shilin Yu, Yijun Yao

arxiv:1610.04103 v1 · 2016-10-13 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLNE76IVFWSI42TGX45MIH2YXD}

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	2026-05-18T01:02:22.372336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12da4ff9152da48e6a66bf3ac41f58b8d1c9ecc90085e8f4e3e29d8600fb8458

Aliases

arxiv: 1610.04103 · arxiv_version: 1610.04103v1 · doi: 10.48550/arxiv.1610.04103 · pith_short_12: CLNE76IVFWSI · pith_short_16: CLNE76IVFWSI42TG · pith_short_8: CLNE76IV

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/CLNE76IVFWSI42TGX45MIH2YXD \
  | 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: 12da4ff9152da48e6a66bf3ac41f58b8d1c9ecc90085e8f4e3e29d8600fb8458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49a925f3a64ecaf140a4192861cd87b871cd8f5497f1b988d959397fc4d4bdf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-10-13T14:41:43Z",
    "title_canon_sha256": "746cb633cdcd3ba1c35a29d93e5835759616859ecf7029e31e2e22c4984e7d51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04103",
    "kind": "arxiv",
    "version": 1
  }
}