Pith Number

pith:KLCB7TMZ

pith:2013:KLCB7TMZZTKOWGAKWVQGC7NTOF

not attested not anchored not stored refs pending

Groups acting on products of trees, tiling systems and analytic K-theory

Guyan Robertson, Jason S. Kimberley

arxiv:1302.5784 v1 · 2013-02-23 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLCB7TMZZTKOWGAKWVQGC7NTOF}

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	2026-05-18T03:32:43.794245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52c41fcd99ccd4eb180ab560617db371683d5c8c69b7cd6e7c54edeccc118882

Aliases

arxiv: 1302.5784 · arxiv_version: 1302.5784v1 · doi: 10.48550/arxiv.1302.5784 · pith_short_12: KLCB7TMZZTKO · pith_short_16: KLCB7TMZZTKOWGAK · pith_short_8: KLCB7TMZ

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/KLCB7TMZZTKOWGAKWVQGC7NTOF \
  | 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: 52c41fcd99ccd4eb180ab560617db371683d5c8c69b7cd6e7c54edeccc118882

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58c2ebea546e23a7c94d7abf033631a12d1fac7a463f2ffc293b8027613d0a30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-02-23T10:11:43Z",
    "title_canon_sha256": "68f2f7eb66cc8412e2bed318e77a65ca6d0945e62e607606246a8bf49201574c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5784",
    "kind": "arxiv",
    "version": 1
  }
}