Pith Number

pith:KQZ6BJM2

pith:2016:KQZ6BJM2PWQJWHIHT5NKJ3IZOB

not attested not anchored not stored refs pending

Some properties of dual and approximate dual of fusion frames

Ali Akbar Arefijamaal, Fahimeh Arabyani Neyshaburi

arxiv:1601.03024 v2 · 2016-01-12 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQZ6BJM2PWQJWHIHT5NKJ3IZOB}

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	2026-05-18T01:06:40.852031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5433e0a59a7da09b1d079f5aa4ed19706e7d0659247337b8c3afb908034b10db

Aliases

arxiv: 1601.03024 · arxiv_version: 1601.03024v2 · doi: 10.48550/arxiv.1601.03024 · pith_short_12: KQZ6BJM2PWQJ · pith_short_16: KQZ6BJM2PWQJWHIH · pith_short_8: KQZ6BJM2

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/KQZ6BJM2PWQJWHIHT5NKJ3IZOB \
  | 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: 5433e0a59a7da09b1d079f5aa4ed19706e7d0659247337b8c3afb908034b10db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d13c2b13b4b65e09cf12604d180b20393002d591b91ee73eedfb03358184f541",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-01-12T20:37:14Z",
    "title_canon_sha256": "9543f5ac3c556d93f9626163a745adf69f8c2a599d977cdba22f607cb61c8da8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03024",
    "kind": "arxiv",
    "version": 2
  }
}