Pith Number

pith:ZGTOIQRB

pith:2014:ZGTOIQRBYZXI5D5IRRVWJMXEMU

not attested not anchored not stored refs pending

On the noncommutative geometry of tilings

Antoine Julien, Jean Savinien, Johannes Kellendonk

arxiv:1412.5442 v1 · 2014-12-17 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGTOIQRBYZXI5D5IRRVWJMXEMU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:31:02.973341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9a6e44221c66e8e8fa88c6b64b2e46519feb241e566a8b5fc653f3eb7be6785

Aliases

arxiv: 1412.5442 · arxiv_version: 1412.5442v1 · doi: 10.48550/arxiv.1412.5442 · pith_short_12: ZGTOIQRBYZXI · pith_short_16: ZGTOIQRBYZXI5D5I · pith_short_8: ZGTOIQRB

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/ZGTOIQRBYZXI5D5IRRVWJMXEMU \
  | 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: c9a6e44221c66e8e8fa88c6b64b2e46519feb241e566a8b5fc653f3eb7be6785

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c01f0194c97fa931b5477b51b17efb6fced54abd33aa9ba9a62b51353b535251",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-12-17T15:29:43Z",
    "title_canon_sha256": "f6463c2b73bd6c1fc5748cc48aec7a8ec2a123ff2d86e35088d681857df762c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5442",
    "kind": "arxiv",
    "version": 1
  }
}