Pith Number

pith:TCN3BT3Z

pith:2015:TCN3BT3ZAGGGKBMELAEHUP3SIM

not attested not anchored not stored refs pending

Catalysis in the trace class and weak trace class ideals

Dmitriy Zanin, Fedor Sukochev, Guillaume Aubrun

arxiv:1506.05974 v1 · 2015-06-19 · 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{TCN3BT3ZAGGGKBMELAEHUP3SIM}

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	2026-05-18T01:42:46.611036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

989bb0cf79018c65058458087a3f724319b013fc79cff8b28074a1dfb3e85e91

Aliases

arxiv: 1506.05974 · arxiv_version: 1506.05974v1 · doi: 10.48550/arxiv.1506.05974 · pith_short_12: TCN3BT3ZAGGG · pith_short_16: TCN3BT3ZAGGGKBME · pith_short_8: TCN3BT3Z

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/TCN3BT3ZAGGGKBMELAEHUP3SIM \
  | 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: 989bb0cf79018c65058458087a3f724319b013fc79cff8b28074a1dfb3e85e91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0692f7176ee670adc0c8bd04a4f3541508f221258025facd00f112ac572c62c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-06-19T12:35:32Z",
    "title_canon_sha256": "c6d22009a57e8a022b271fc76b51c2f7f4f1ac96f7fab0496eb25554609aabdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05974",
    "kind": "arxiv",
    "version": 1
  }
}