Pith Number

pith:3PY5ASVE

pith:2008:3PY5ASVEW4M5HKFNWLFKO2PVHH

not attested not anchored not stored refs pending

A Systematic Study of Frame Sequence Operators and their Pseudoinverses

M. A. El-Gebeily, P. Balazs

arxiv:0802.3589 v1 · 2008-02-25 · 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{3PY5ASVEW4M5HKFNWLFKO2PVHH}

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	2026-05-18T03:54:39.745871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbf1d04aa4b719d3a8adb2caa769f539ed2b7eda46302e67f40e8a1d7c803c81

Aliases

arxiv: 0802.3589 · arxiv_version: 0802.3589v1 · doi: 10.48550/arxiv.0802.3589 · pith_short_12: 3PY5ASVEW4M5 · pith_short_16: 3PY5ASVEW4M5HKFN · pith_short_8: 3PY5ASVE

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/3PY5ASVEW4M5HKFNWLFKO2PVHH \
  | 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: dbf1d04aa4b719d3a8adb2caa769f539ed2b7eda46302e67f40e8a1d7c803c81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fafdff29260cb99fae3f54d784a971a43346bba011673c026d0b9d30c2e304f4",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-02-25T10:49:08Z",
    "title_canon_sha256": "b24c8c3e1d34798dafea28e51cffe7dd2f9946bb829f7dacf5b3ead4427d2f72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3589",
    "kind": "arxiv",
    "version": 1
  }
}