Pith Number

pith:QXZJKD6K

pith:2010:QXZJKD6KSNZQFXMI47PEMMNRT6

not attested not anchored not stored refs pending

On strictly singular operators between separable Banach spaces

Kevin Beanland, Pandelis Dodos

arxiv:1006.2672 v1 · 2010-06-14 · 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{QXZJKD6KSNZQFXMI47PEMMNRT6}

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	2026-05-18T03:02:44.404958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85f2950fca937302dd88e7de4631b19f9fc7309124584ba4b23a00fe3ffe5af2

Aliases

arxiv: 1006.2672 · arxiv_version: 1006.2672v1 · doi: 10.48550/arxiv.1006.2672 · pith_short_12: QXZJKD6KSNZQ · pith_short_16: QXZJKD6KSNZQFXMI · pith_short_8: QXZJKD6K

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/QXZJKD6KSNZQFXMI47PEMMNRT6 \
  | 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: 85f2950fca937302dd88e7de4631b19f9fc7309124584ba4b23a00fe3ffe5af2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28fc034179e6dd00a37d4f784d0d2d797358356e25b0734d20e2114964f3e769",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-06-14T11:18:07Z",
    "title_canon_sha256": "47fe2afaa899ff247dc12aff480c6c022d2b94e37eab63cab0411da143aa6c17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2672",
    "kind": "arxiv",
    "version": 1
  }
}