Pith Number

pith:3RYAZ5J3

pith:2001:3RYAZ5J3F2FOKRAH5XK64LBWKU

not attested not anchored not stored refs pending

Narrow operators on vector-valued sup-normed spaces

Dirk Werner, Dmitriy Bilik, Gleb Sirotkin, Roman Shvidkoy, Vladimir Kadets

arxiv:math/0106227 v1 · 2001-06-27 · 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{3RYAZ5J3F2FOKRAH5XK64LBWKU}

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	2026-05-18T04:26:44.112613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc700cf53b2e8ae54407edd5ee2c365517cc8a55c2889e1fbda2ca5e49527803

Aliases

arxiv: math/0106227 · arxiv_version: math/0106227v1 · doi: 10.48550/arxiv.math/0106227 · pith_short_12: 3RYAZ5J3F2FO · pith_short_16: 3RYAZ5J3F2FOKRAH · pith_short_8: 3RYAZ5J3

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/3RYAZ5J3F2FOKRAH5XK64LBWKU \
  | 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: dc700cf53b2e8ae54407edd5ee2c365517cc8a55c2889e1fbda2ca5e49527803

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c045a419e08808e957de5adba48988588c4a95f1d2393333f9e51fd17a3bfb8e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2001-06-27T09:41:09Z",
    "title_canon_sha256": "d193097983f25a28d89b0bfd056d9f3c2b7859d1307f4f38a582ecb3c0371b7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106227",
    "kind": "arxiv",
    "version": 1
  }
}