Pith Number

pith:U2RZPTOE

pith:2016:U2RZPTOE3U3K55N7RAPPC2BRT2

not attested not anchored not stored refs pending

Closed Ideals of Operators between the Classical Sequence Spaces

Andras Zsak, Dan Freeman, Thomas Schlumprecht

arxiv:1612.01153 v1 · 2016-12-04 · 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{U2RZPTOE3U3K55N7RAPPC2BRT2}

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	2026-05-18T00:38:03.842972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6a397cdc4dd36aef5bf881ef168319ea2cf758c1c3c167c03eeb88807c02db8

Aliases

arxiv: 1612.01153 · arxiv_version: 1612.01153v1 · doi: 10.48550/arxiv.1612.01153 · pith_short_12: U2RZPTOE3U3K · pith_short_16: U2RZPTOE3U3K55N7 · pith_short_8: U2RZPTOE

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/U2RZPTOE3U3K55N7RAPPC2BRT2 \
  | 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: a6a397cdc4dd36aef5bf881ef168319ea2cf758c1c3c167c03eeb88807c02db8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0845378e75daa09a0c3a1ddba3abd2a89e06c53032e19c12bd9dcc33bf3f6060",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-04T17:58:07Z",
    "title_canon_sha256": "ddf67519beb058ea644bac6e67d1322046a056e4d48990a8ec1409b3ba317442"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01153",
    "kind": "arxiv",
    "version": 1
  }
}