Pith Number

pith:TGKCF7U6

pith:2012:TGKCF7U6WJWRU27JQNIPJ3KPQQ

not attested not anchored not stored refs pending

Maximal equicontinuous factors and cohomology for tiling spaces

Johannes Kellendonk (ICJ), Marcy Barge, Scott Schmieding

arxiv:1204.1432 v1 · 2012-04-06 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGKCF7U6WJWRU27JQNIPJ3KPQQ}

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	2026-05-18T03:12:58.007728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

999422fe9eb26d1a6be98350f4ed4f843078da396fee1687470a71df7036535f

Aliases

arxiv: 1204.1432 · arxiv_version: 1204.1432v1 · doi: 10.48550/arxiv.1204.1432 · pith_short_12: TGKCF7U6WJWR · pith_short_16: TGKCF7U6WJWRU27J · pith_short_8: TGKCF7U6

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/TGKCF7U6WJWRU27JQNIPJ3KPQQ \
  | 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: 999422fe9eb26d1a6be98350f4ed4f843078da396fee1687470a71df7036535f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96de563b0a9f5c926166ec455d5e3ae0e7ce28b455ca183fd8f353a843c39d5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-06T08:17:08Z",
    "title_canon_sha256": "b5464a88aa82595c59ed7bc435fe82385028a85680b3b037c7575a413c15e4c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1432",
    "kind": "arxiv",
    "version": 1
  }
}