Pith Number

pith:FGCWKRDP

pith:2015:FGCWKRDPAQHZ4PUWA63BBKLXTT

not attested not anchored not stored refs pending

Harmonic and Spectral Analysis of Abstract Parabolic Operators in Homogeneous Function Spaces

Anatoly G. Baskakov, Ilya A. Krishtal

arxiv:1501.04958 v1 · 2015-01-20 · math.FA · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FGCWKRDPAQHZ4PUWA63BBKLXTT}

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	2026-05-18T01:11:51.802692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

298565446f040f9e3e9607b610a9779cca355fc0e48a8342542d6be0bdf07f5e

Aliases

arxiv: 1501.04958 · arxiv_version: 1501.04958v1 · doi: 10.48550/arxiv.1501.04958 · pith_short_12: FGCWKRDPAQHZ · pith_short_16: FGCWKRDPAQHZ4PUW · pith_short_8: FGCWKRDP

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/FGCWKRDPAQHZ4PUWA63BBKLXTT \
  | 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: 298565446f040f9e3e9607b610a9779cca355fc0e48a8342542d6be0bdf07f5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f077f572115640c99a1f8cc0dfab53c5b46e0aebf9eddc4e156e142edc25facc",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-01-20T16:41:20Z",
    "title_canon_sha256": "aa41569fecfd588ef1b634cd27fa8b592de08c5f27e0f387ebc7c3265e88d60d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04958",
    "kind": "arxiv",
    "version": 1
  }
}