Pith Number

pith:LOFHPUJP

pith:2018:LOFHPUJPICO6UQNCIHY7F4DPGR

not attested not anchored not stored refs pending

Gabor frames for model sets

Ewa Matusiak

arxiv:1801.10026 v2 · 2018-01-27 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LOFHPUJPICO6UQNCIHY7F4DPGR}

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	2026-05-17T23:53:09.715427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b8a77d12f409dea41a241f1f2f06f347d689d37c6fe96ac536115483aa8c346

Aliases

arxiv: 1801.10026 · arxiv_version: 1801.10026v2 · doi: 10.48550/arxiv.1801.10026 · pith_short_12: LOFHPUJPICO6 · pith_short_16: LOFHPUJPICO6UQNC · pith_short_8: LOFHPUJP

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/LOFHPUJPICO6UQNCIHY7F4DPGR \
  | 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: 5b8a77d12f409dea41a241f1f2f06f347d689d37c6fe96ac536115483aa8c346

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153d62b5672e48b73d95360b3b00163a2b94ac0f594fa98b010b23dcc5784ba6",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-27T16:35:41Z",
    "title_canon_sha256": "28f464f9daa7cb2c7b51a9061d47f158b77556e542a02bd73270105910bf2c5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10026",
    "kind": "arxiv",
    "version": 2
  }
}