Pith Number

pith:A4Z2CS6H

pith:2011:A4Z2CS6HYY5FFQOH6KOCH5AK2H

not attested not anchored not stored refs pending

Embeddings of M\"{u}ntz spaces: the Hilbertian case

Dan Timotin, S.Waleed Noor

arxiv:1110.5422 v1 · 2011-10-25 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4Z2CS6HYY5FFQOH6KOCH5AK2H}

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	2026-05-18T03:15:45.567217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0733a14bc7c63a52c1c7f29c23f40ad1cba9fc953b915784219270e787a40c2e

Aliases

arxiv: 1110.5422 · arxiv_version: 1110.5422v1 · doi: 10.48550/arxiv.1110.5422 · pith_short_12: A4Z2CS6HYY5F · pith_short_16: A4Z2CS6HYY5FFQOH · pith_short_8: A4Z2CS6H

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/A4Z2CS6HYY5FFQOH6KOCH5AK2H \
  | 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: 0733a14bc7c63a52c1c7f29c23f40ad1cba9fc953b915784219270e787a40c2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63112ad2ed7cddbef78b2ee720ae141da9c7ced4e03ae0b7e31140a2ecb10792",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-10-25T07:13:19Z",
    "title_canon_sha256": "c7757f15b4fa91adcc8c40df7ebb3590935bfd24dd0a73314254093e7dd9986d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5422",
    "kind": "arxiv",
    "version": 1
  }
}