Pith Number

pith:DL6IA7BT

pith:2018:DL6IA7BT7I567PAPWZXWUPWR5X

not attested not anchored not stored refs pending

Dual and multiplier of $K$-fusion frames

Ali Akbar Arefijamaal, Ghadir Sadeghi, Mitra Shamsabadi

arxiv:1808.01440 v1 · 2018-08-04 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DL6IA7BT7I567PAPWZXWUPWR5X}

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	2026-05-18T00:08:52.961814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1afc807c33fa3befbc0fb66f6a3ed1edd628e297e1f7a5f81781e1fafcbedae3

Aliases

arxiv: 1808.01440 · arxiv_version: 1808.01440v1 · doi: 10.48550/arxiv.1808.01440 · pith_short_12: DL6IA7BT7I56 · pith_short_16: DL6IA7BT7I567PAP · pith_short_8: DL6IA7BT

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/DL6IA7BT7I567PAPWZXWUPWR5X \
  | 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: 1afc807c33fa3befbc0fb66f6a3ed1edd628e297e1f7a5f81781e1fafcbedae3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "512a6aa733d92d74a1946c88ffbee2f98953295774e4c5f1fb96ed21e840f921",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-04T07:18:43Z",
    "title_canon_sha256": "b553742be5f566278473bbd5ea4ec8fefa5972a2c9d62e34ed55123ab9ff0389"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01440",
    "kind": "arxiv",
    "version": 1
  }
}