Pith Number

pith:53DHSGNO

pith:2024:53DHSGNOXOWORRODNZDXBGWSO4

not attested not anchored not stored refs pending

The density of Gabor systems in expansible locally compact abelian groups

Emily King, Rocio Nores, Victoria Paternostro

arxiv:2404.19688 v2 · 2024-04-30 · 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{53DHSGNOXOWORRODNZDXBGWSO4}

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	2026-07-05T09:20:42.820617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eec67919aebbace8c5c36e47709ad2770f24c620cb0a8449ebcde2c87344ce69

Aliases

arxiv: 2404.19688 · arxiv_version: 2404.19688v2 · doi: 10.48550/arxiv.2404.19688 · pith_short_12: 53DHSGNOXOWO · pith_short_16: 53DHSGNOXOWORROD · pith_short_8: 53DHSGNO

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/53DHSGNOXOWORRODNZDXBGWSO4 \
  | 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: eec67919aebbace8c5c36e47709ad2770f24c620cb0a8449ebcde2c87344ce69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6803982e531a36ea681883f405bed0e3d5ebbd9a87cb2df558f19b5f950305b",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-04-30T16:29:32Z",
    "title_canon_sha256": "0ad6b913f27877d8d89ba5b4b741c67bdf1b8d4f7d9d5e6897235822ee4014d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.19688",
    "kind": "arxiv",
    "version": 2
  }
}