Pith Number

pith:2BPIDM26

pith:2015:2BPIDM26XMC4MBBZ5FB2445CMM

not attested not anchored not stored refs pending

Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary

Julio Delgado, Michael Ruzhansky, Niyaz Tokmagambetov

arxiv:1505.02261 v2 · 2015-05-09 · math.AP · 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{2BPIDM26XMC4MBBZ5FB2445CMM}

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	2026-05-18T01:23:58.305518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d05e81b35ebb05c60439e943ae73a2630dfeed7d2321c7060b5837d5dc7f5379

Aliases

arxiv: 1505.02261 · arxiv_version: 1505.02261v2 · doi: 10.48550/arxiv.1505.02261 · pith_short_12: 2BPIDM26XMC4 · pith_short_16: 2BPIDM26XMC4MBBZ · pith_short_8: 2BPIDM26

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/2BPIDM26XMC4MBBZ5FB2445CMM \
  | 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: d05e81b35ebb05c60439e943ae73a2630dfeed7d2321c7060b5837d5dc7f5379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6918bb33404318096cb0234e3f06ba4c68d24d99a54dbf20d789b19d31b55dff",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-09T11:25:35Z",
    "title_canon_sha256": "dd77217bcb66985ee67d9310ae7df8782cb290052ca746efc30bdf2dbf76e83f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02261",
    "kind": "arxiv",
    "version": 2
  }
}