Pith Number

pith:AZA7DSOG

pith:2016:AZA7DSOG4OGC26WYVQUYW6POS5

not attested not anchored not stored refs pending

$2$--hyperreflexivity and hyporeflexivity of power partial isometries

Kamila Piwowarczyk, Marek Ptak

arxiv:1605.07049 v1 · 2016-05-23 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZA7DSOG4OGC26WYVQUYW6POS5}

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	2026-05-18T01:14:10.495602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0641f1c9c6e38c2d7ad8ac298b79ee974be5c054ac3feb38e303754de1ba4595

Aliases

arxiv: 1605.07049 · arxiv_version: 1605.07049v1 · doi: 10.48550/arxiv.1605.07049 · pith_short_12: AZA7DSOG4OGC · pith_short_16: AZA7DSOG4OGC26WY · pith_short_8: AZA7DSOG

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/AZA7DSOG4OGC26WYVQUYW6POS5 \
  | 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: 0641f1c9c6e38c2d7ad8ac298b79ee974be5c054ac3feb38e303754de1ba4595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbe855a24cabaef75bd3bfcc516ccdb88c4cf126f323e0d9b08c38bdaa87060d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-05-23T15:08:31Z",
    "title_canon_sha256": "21a9b41df8c0bcf6507dc16a82e31000c90a284fde151eee15886e95e76e5956"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07049",
    "kind": "arxiv",
    "version": 1
  }
}