Pith Number

pith:LCIJXW5S

pith:2015:LCIJXW5S42BABVJH6CXTZ3ZPS2

not attested not anchored not stored refs pending

Some results on the lattice parameters of quaternionic Gabor frames

Stefan Hartmann

arxiv:1507.06636 v1 · 2015-07-17 · 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{LCIJXW5S42BABVJH6CXTZ3ZPS2}

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	2026-05-18T01:36:23.066821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58909bdbb2e68200d527f0af3cef2f96a26fa10e6703ef43929b5c190c94d1dd

Aliases

arxiv: 1507.06636 · arxiv_version: 1507.06636v1 · doi: 10.48550/arxiv.1507.06636 · pith_short_12: LCIJXW5S42BA · pith_short_16: LCIJXW5S42BABVJH · pith_short_8: LCIJXW5S

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/LCIJXW5S42BABVJH6CXTZ3ZPS2 \
  | 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: 58909bdbb2e68200d527f0af3cef2f96a26fa10e6703ef43929b5c190c94d1dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51a508e756072d3d37f98aee4871806cfb8cb12582e55879bf4722f35f6112ae",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-17T13:24:51Z",
    "title_canon_sha256": "4901cb8bb10563a1dce7126e5ba70e4184585423cc75342ab42329f7bd308cae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06636",
    "kind": "arxiv",
    "version": 1
  }
}