Pith Number

pith:FQ3ARCU6

pith:2017:FQ3ARCU6ZSN4DAJEY4JRWHFMTM

not attested not anchored not stored refs pending

Non-separable lattices, Gabor orthonormal bases and Tilings

Azita Mayeli, Chun-kit Lai

arxiv:1711.10560 v2 · 2017-11-28 · math.FA · 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{FQ3ARCU6ZSN4DAJEY4JRWHFMTM}

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	2026-05-18T00:00:30.829300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c36088a9ecc9bc18124c7131b1cac9b1cf5ad31564c3492a90386498f3343e8

Aliases

arxiv: 1711.10560 · arxiv_version: 1711.10560v2 · doi: 10.48550/arxiv.1711.10560 · pith_short_12: FQ3ARCU6ZSN4 · pith_short_16: FQ3ARCU6ZSN4DAJE · pith_short_8: FQ3ARCU6

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/FQ3ARCU6ZSN4DAJEY4JRWHFMTM \
  | 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: 2c36088a9ecc9bc18124c7131b1cac9b1cf5ad31564c3492a90386498f3343e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "026d5fb2c10e01b1dd2a2f1ee2a5296b5ae96ad29a88ab77435bb1d59afe528c",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-28T21:19:52Z",
    "title_canon_sha256": "2c532c3f84bc8518aca6cd0bc58889e3c864faf4fe10eb72429cbab7525f51fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10560",
    "kind": "arxiv",
    "version": 2
  }
}