Pith Number

pith:LZHR7MPY

pith:2010:LZHR7MPYUGPSOSXD74Q77TWB54

not attested not anchored not stored refs pending

Spectral triples and aperiodic order

J. Kellendonk, J. Savinien

arxiv:1010.0156 v2 · 2010-10-01 · 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{LZHR7MPYUGPSOSXD74Q77TWB54}

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	2026-05-18T04:38:58.013920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e4f1fb1f8a19f274ae3ff21ffcec1ef1708eb6fdb16086cf5abbc6937f2a202

Aliases

arxiv: 1010.0156 · arxiv_version: 1010.0156v2 · doi: 10.48550/arxiv.1010.0156 · pith_short_12: LZHR7MPYUGPS · pith_short_16: LZHR7MPYUGPSOSXD · pith_short_8: LZHR7MPY

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/LZHR7MPYUGPSOSXD74Q77TWB54 \
  | 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: 5e4f1fb1f8a19f274ae3ff21ffcec1ef1708eb6fdb16086cf5abbc6937f2a202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "851a6be0c9f64ba2199809ede36f9f07673fb4290aa6a28b3b79c4e85b4af21a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-10-01T13:28:58Z",
    "title_canon_sha256": "2c9de8fb31fcb1c9981fa7583e824655b52a546e8072b8e8e7b7ea5fd53d44b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0156",
    "kind": "arxiv",
    "version": 2
  }
}