Pith Number

pith:J3AJRTXR

pith:2017:J3AJRTXRSWVQYKHMGPTN2VJG6I

not attested not anchored not stored refs pending

A geometric realisation of tempered representations restricted to maximal compact subgroups

Peter Hochs, Shilin Yu, Yanli Song

arxiv:1705.02088 v3 · 2017-05-05 · math.RT · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3AJRTXRSWVQYKHMGPTN2VJG6I}

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	2026-05-18T00:16:50.772141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ec098cef195ab0c28ec33e6dd5526f205a2b36a47021eac156034651d6c86a9

Aliases

arxiv: 1705.02088 · arxiv_version: 1705.02088v3 · doi: 10.48550/arxiv.1705.02088 · pith_short_12: J3AJRTXRSWVQ · pith_short_16: J3AJRTXRSWVQYKHM · pith_short_8: J3AJRTXR

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/J3AJRTXRSWVQYKHMGPTN2VJG6I \
  | 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: 4ec098cef195ab0c28ec33e6dd5526f205a2b36a47021eac156034651d6c86a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68cd27c0d6c370eb2379b380f8ad3301c19043c683bee257c49699c9520717b8",
    "cross_cats_sorted": [
      "math.DG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-05-05T05:31:45Z",
    "title_canon_sha256": "e24d3583d08a242d40bebd4712da104a08ed804af03ac439270b3edfac8f9428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02088",
    "kind": "arxiv",
    "version": 3
  }
}