Pith Number

pith:2RXY76OS

pith:2006:2RXY76OSJPVHATCZVEGUQYK2VM

not attested not anchored not stored refs pending

Injective convolution operators on ${\ell}^{\infty}(\Gamma)$ are surjective

Yemon Choi

arxiv:math/0606367 v2 · 2006-06-15 · 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{2RXY76OSJPVHATCZVEGUQYK2VM}

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	2026-05-18T04:31:00.283165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d46f8ff9d24bea704c59a90d48615aab2e8637139d33e103249a7269bf61ab38

Aliases

arxiv: math/0606367 · arxiv_version: math/0606367v2 · doi: 10.48550/arxiv.math/0606367 · pith_short_12: 2RXY76OSJPVH · pith_short_16: 2RXY76OSJPVHATCZ · pith_short_8: 2RXY76OS

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/2RXY76OSJPVHATCZVEGUQYK2VM \
  | 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: d46f8ff9d24bea704c59a90d48615aab2e8637139d33e103249a7269bf61ab38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86a78f27af4735866825d47721ea02f05ee33d726053e720b57beed12ad3259e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2006-06-15T15:29:13Z",
    "title_canon_sha256": "48a25618d8c38900c5c8608ec2adb970543b533e014634361bddb630167a875a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606367",
    "kind": "arxiv",
    "version": 2
  }
}