Pith Number

pith:3TR3OROG

pith:2015:3TR3OROGZFVXKAXQSIMVKEXH7B

not attested not anchored not stored refs pending

An ordinal index characterizing weak compactness of operators

Ryan M. Causey

arxiv:1508.02065 v3 · 2015-08-09 · 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{3TR3OROGZFVXKAXQSIMVKEXH7B}

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	2026-05-18T01:34:54.242697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dce3b745c6c96b7502f092195512e7f858fb5e536caf8fc75248b1b0d1221c48

Aliases

arxiv: 1508.02065 · arxiv_version: 1508.02065v3 · doi: 10.48550/arxiv.1508.02065 · pith_short_12: 3TR3OROGZFVX · pith_short_16: 3TR3OROGZFVXKAXQ · pith_short_8: 3TR3OROG

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/3TR3OROGZFVXKAXQSIMVKEXH7B \
  | 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: dce3b745c6c96b7502f092195512e7f858fb5e536caf8fc75248b1b0d1221c48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00f458169f5b478b9c1145e12bb28fde47501bbdd1d297697697da5e95179e2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-08-09T18:26:35Z",
    "title_canon_sha256": "40a680e5875f2d20dc9f72950c73af2acb85e0df980f14069b8630cd9039bd7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02065",
    "kind": "arxiv",
    "version": 3
  }
}