Pith Number

pith:7DFI6S2J

pith:2009:7DFI6S2JIJZLEXABD6XDLCTUXA

not attested not anchored not stored refs pending

Extrapolation of Vector valued Rearrangement Operators II

Paul F. X. Mueller

arxiv:0902.1330 v1 · 2009-02-09 · 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{7DFI6S2JIJZLEXABD6XDLCTUXA}

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	2026-05-18T02:58:10.698977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ca8f4b494272b25c011fae358a74b81934ec3514d476279baf3047a922590e

Aliases

arxiv: 0902.1330 · arxiv_version: 0902.1330v1 · doi: 10.48550/arxiv.0902.1330 · pith_short_12: 7DFI6S2JIJZL · pith_short_16: 7DFI6S2JIJZLEXAB · pith_short_8: 7DFI6S2J

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/7DFI6S2JIJZLEXABD6XDLCTUXA \
  | 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: f8ca8f4b494272b25c011fae358a74b81934ec3514d476279baf3047a922590e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41fc0c3384831d9acc1191672cbfbb59a8735b158d1f0eb78cc4ddb334bc78e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-02-09T17:09:31Z",
    "title_canon_sha256": "6758a55bbcb4fe31a2d21734b9fb2f4dd2f1f1606794febdfa4a7cefdff94115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1330",
    "kind": "arxiv",
    "version": 1
  }
}