Pith Number

pith:7MJF2HBI

pith:2016:7MJF2HBIRPSRLUZJZ62EQZS3UT

not attested not anchored not stored refs pending

Schatten properties, nuclearity and minimality of shift invariant spaces

Joachim Toft

arxiv:1605.03042 v5 · 2016-05-10 · 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{7MJF2HBIRPSRLUZJZ62EQZS3UT}

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	2026-05-18T00:59:41.957511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb125d1c288be515d329cfb448665ba4f90efa4eb3b2a5c40a468040bfcb2869

Aliases

arxiv: 1605.03042 · arxiv_version: 1605.03042v5 · doi: 10.48550/arxiv.1605.03042 · pith_short_12: 7MJF2HBIRPSR · pith_short_16: 7MJF2HBIRPSRLUZJ · pith_short_8: 7MJF2HBI

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/7MJF2HBIRPSRLUZJZ62EQZS3UT \
  | 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: fb125d1c288be515d329cfb448665ba4f90efa4eb3b2a5c40a468040bfcb2869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "410f7efbffaf71999fbf520001035d8caedc0e30eb7d29c5a242e6548cea6569",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-10T14:59:35Z",
    "title_canon_sha256": "b48f76f85407ed3ce71e7119838428d4df3cf724057c69de7fa9184abce6435a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03042",
    "kind": "arxiv",
    "version": 5
  }
}