Pith Number

pith:MTSVI42L

pith:2006:MTSVI42L2P4KYQZQTHXE54LYH4

not attested not anchored not stored refs pending

KK-theoretic duality for proper twisted actions

Heath Emerson, Hyun Jeong Kim, Siegfried Echterhoff

arxiv:math/0610044 v2 · 2006-10-02 · math.OA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTSVI42L2P4KYQZQTHXE54LYH4}

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	2026-05-18T04:08:53.217293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64e554734bd3f8ac433099ee4ef1783f386c52ea76e94865a7a32b75b1da6346

Aliases

arxiv: math/0610044 · arxiv_version: math/0610044v2 · doi: 10.48550/arxiv.math/0610044 · pith_short_12: MTSVI42L2P4K · pith_short_16: MTSVI42L2P4KYQZQ · pith_short_8: MTSVI42L

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/MTSVI42L2P4KYQZQTHXE54LYH4 \
  | 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: 64e554734bd3f8ac433099ee4ef1783f386c52ea76e94865a7a32b75b1da6346

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c29cf9e558ae2473dae0534539f675d05ca3fd228bf7560fd0ed3e77368547c",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2006-10-02T15:52:43Z",
    "title_canon_sha256": "166c4274cab6d2201439b3a2e8bcb9472a8facb50dab99df2deba1049680f912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610044",
    "kind": "arxiv",
    "version": 2
  }
}