Pith Number

pith:R4VTCZAN

pith:2014:R4VTCZANWN553CO4HFJLWCJG3U

not attested not anchored not stored refs pending

An equivariant index for proper actions III: the invariant and discrete series indices

Peter Hochs, Yanli Song

arxiv:1412.5348 v2 · 2014-12-17 · math.DG · 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{R4VTCZANWN553CO4HFJLWCJG3U}

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	2026-05-18T01:19:18.720687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f2b31640db37bdd89dc3952bb0926dd01d3e281c42a6d109d4ec6b23a24db2b

Aliases

arxiv: 1412.5348 · arxiv_version: 1412.5348v2 · doi: 10.48550/arxiv.1412.5348 · pith_short_12: R4VTCZANWN55 · pith_short_16: R4VTCZANWN553CO4 · pith_short_8: R4VTCZAN

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/R4VTCZANWN553CO4HFJLWCJG3U \
  | 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: 8f2b31640db37bdd89dc3952bb0926dd01d3e281c42a6d109d4ec6b23a24db2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad6e7ec105b059a23be815339ac1a5f2eb2d1a9a60f523b2cfb7f33c7e266966",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-17T11:42:34Z",
    "title_canon_sha256": "e253c510b08a1e5567a72117bf4e00d9af4092208283d576f6ca0333a28c5519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5348",
    "kind": "arxiv",
    "version": 2
  }
}