Pith Number

pith:TIRSC53U

pith:2011:TIRSC53UFRGWDKRCNOWBGSPYB5

not attested not anchored not stored refs pending

On the K-theory of boundary $C^*$-algebras of $\widetilde A_2$ groups

Guyan Robertson, Oliver King

arxiv:1104.4416 v1 · 2011-04-22 · math.KT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIRSC53UFRGWDKRCNOWBGSPYB5}

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	2026-05-18T03:32:57.342691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a232177742c4d61aa226bac1349f80f6f65478ff4a3539a8f402d0fc7d7911f

Aliases

arxiv: 1104.4416 · arxiv_version: 1104.4416v1 · doi: 10.48550/arxiv.1104.4416 · pith_short_12: TIRSC53UFRGW · pith_short_16: TIRSC53UFRGWDKRC · pith_short_8: TIRSC53U

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/TIRSC53UFRGWDKRCNOWBGSPYB5 \
  | 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: 9a232177742c4d61aa226bac1349f80f6f65478ff4a3539a8f402d0fc7d7911f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe37fa7979124fcb16a1c07d2798d32ae1ea63c4e4abbfa2c6e6c9e9b2f4f794",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-04-22T10:21:43Z",
    "title_canon_sha256": "9aed7049dc23dde72c088589b6cc5f86c6bd8ec0b4ae58b5753b6cd682addc49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4416",
    "kind": "arxiv",
    "version": 1
  }
}