Pith Number

pith:3ZHKK5MV

pith:2016:3ZHKK5MVKGHAT6AOQLFQPLCIZA

not attested not anchored not stored refs pending

An equivariant index for proper actions II: properties and applications

Peter Hochs, Yanli Song

arxiv:1602.02836 v1 · 2016-02-09 · math.KT · math.DG · math.OA · 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{3ZHKK5MVKGHAT6AOQLFQPLCIZA}

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	2026-05-18T01:21:08.032557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de4ea57595518e09f80e82cb07ac48c801ab7e7335f7dfcf72eac8ff2bd575e2

Aliases

arxiv: 1602.02836 · arxiv_version: 1602.02836v1 · doi: 10.48550/arxiv.1602.02836 · pith_short_12: 3ZHKK5MVKGHA · pith_short_16: 3ZHKK5MVKGHAT6AO · pith_short_8: 3ZHKK5MV

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/3ZHKK5MVKGHAT6AOQLFQPLCIZA \
  | 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: de4ea57595518e09f80e82cb07ac48c801ab7e7335f7dfcf72eac8ff2bd575e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4cc123c4ca37399eff35e343d224d4c36dc6dac51b6981d65909f4a42ddbde3",
    "cross_cats_sorted": [
      "math.DG",
      "math.OA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-02-09T01:37:10Z",
    "title_canon_sha256": "78df539028ec8a7ae9b829e696aae22918e9b9381ec1f52e363fdfaf4dd6198c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02836",
    "kind": "arxiv",
    "version": 1
  }
}