Pith Number

pith:6WDZI73E

pith:2020:6WDZI73EINQ6LGPMUIPYUZJKNS

not attested not anchored not stored refs pending

Discrete Frames For $L^2({\mathbb R}^{n^2})$ Arising From Tiling Systems On ${\rm GL}_n({\mathbb R})$

Kris Hollingsworth, Mahya Ghandehari

arxiv:2003.13113 v4 · 2020-03-29 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6WDZI73EINQ6LGPMUIPYUZJKNS}

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	2026-07-05T02:12:40.943732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f587947f644361e599eca21f8a652a6c9b6b53297d2a7191c806965acb93f37c

Aliases

arxiv: 2003.13113 · arxiv_version: 2003.13113v4 · doi: 10.48550/arxiv.2003.13113 · pith_short_12: 6WDZI73EINQ6 · pith_short_16: 6WDZI73EINQ6LGPM · pith_short_8: 6WDZI73E

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/6WDZI73EINQ6LGPMUIPYUZJKNS \
  | 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: f587947f644361e599eca21f8a652a6c9b6b53297d2a7191c806965acb93f37c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09d658e055028eb1b4cc9e85c940a162b1e3d36183883eb5b8215330745992af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2020-03-29T19:07:35Z",
    "title_canon_sha256": "2b09c8092b6c6c15e6ce02e0bcda3a177cb261d4df978df90dda1f29141ba92e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.13113",
    "kind": "arxiv",
    "version": 4
  }
}