Pith Number

pith:2P43RJ4G

pith:2015:2P43RJ4GQLJVJYODMFTIAEKR5H

not attested not anchored not stored refs pending

On weak model sets of extremal density

Christian Huck (Bielefeld), Michael Baake (Bielefeld), Nicolae Strungaru (Peterborough)

arxiv:1512.07129 v2 · 2015-12-22 · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2P43RJ4GQLJVJYODMFTIAEKR5H}

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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.

Cited by

1 paper in Pith

Pure point measures with sparse support and sparse Fourier--Bohr support

Receipt and verification

First computed	2026-07-05T05:19:31.642292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3f9b8a78682d354e1c36166801151e9e94a112014289e2f2795a708c3e91c9c

Aliases

arxiv: 1512.07129 · arxiv_version: 1512.07129v2 · doi: 10.48550/arxiv.1512.07129 · pith_short_12: 2P43RJ4GQLJV · pith_short_16: 2P43RJ4GQLJVJYOD · pith_short_8: 2P43RJ4G

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/2P43RJ4GQLJVJYODMFTIAEKR5H \
  | 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: d3f9b8a78682d354e1c36166801151e9e94a112014289e2f2795a708c3e91c9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2a1ca79e9ef405189896ff043971214d13a69f89610824051b078c63eece4a9",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-22T15:44:02Z",
    "title_canon_sha256": "dc07074bea48b2c914e3740916e1573113165ff1515f34f26de30cc96835c74e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07129",
    "kind": "arxiv",
    "version": 2
  }
}