Pith Number

pith:5VXPXBJC

pith:2011:5VXPXBJCY6KLBJ7YBMI2AGCHY7

not attested not anchored not stored refs pending

G-frame representation and Invertibility of g-Bessel Multipliers

A. Abdollahi, E. Rahimi

arxiv:1106.2139 v1 · 2011-06-10 · 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{5VXPXBJCY6KLBJ7YBMI2AGCHY7}

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	2026-05-18T04:20:13.577760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed6efb8522c794b0a7f80b11a01847c7dcceca01aef8bf193e44aa03fee4c1c1

Aliases

arxiv: 1106.2139 · arxiv_version: 1106.2139v1 · doi: 10.48550/arxiv.1106.2139 · pith_short_12: 5VXPXBJCY6KL · pith_short_16: 5VXPXBJCY6KLBJ7Y · pith_short_8: 5VXPXBJC

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/5VXPXBJCY6KLBJ7YBMI2AGCHY7 \
  | 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: ed6efb8522c794b0a7f80b11a01847c7dcceca01aef8bf193e44aa03fee4c1c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ba6505aa61244979f744ac3e1c3eac13b4476dba8565346a2a7561bd1d07bbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-06-10T18:25:04Z",
    "title_canon_sha256": "af23fc4b993fbd95759c341309251143877c09263e8a35f545ead607458d5dbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2139",
    "kind": "arxiv",
    "version": 1
  }
}