Pith Number

pith:REGIG2QK

pith:2014:REGIG2QK2HBKG3CYAJMUXFCZXX

not attested not anchored not stored refs pending

Schatten classes on compact manifolds: Kernel conditions

Julio Delgado, Michael Ruzhansky

arxiv:1403.6158 v1 · 2014-03-24 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{REGIG2QK2HBKG3CYAJMUXFCZXX}

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	2026-05-18T02:30:32.124824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

890c836a0ad1c2a36c5802594b9459bdd386a339ccc938cb0839d3d471f28207

Aliases

arxiv: 1403.6158 · arxiv_version: 1403.6158v1 · doi: 10.48550/arxiv.1403.6158 · pith_short_12: REGIG2QK2HBK · pith_short_16: REGIG2QK2HBKG3CY · pith_short_8: REGIG2QK

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/REGIG2QK2HBKG3CYAJMUXFCZXX \
  | 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: 890c836a0ad1c2a36c5802594b9459bdd386a339ccc938cb0839d3d471f28207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77086d8b669e643577c8fbd24f67c2abdcbb11cd78f25681a522cb23d91f03ae",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-03-24T21:24:02Z",
    "title_canon_sha256": "53898e7d34997f8a0152d22412d760d47252c80eaa410b4a2fd9056d8d0edc1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6158",
    "kind": "arxiv",
    "version": 1
  }
}