Pith Number

pith:F52PZP44

pith:2018:F52PZP44VCV55CTNKCCNYNE37F

not attested not anchored not stored refs pending

Discrete Hardy spaces and heat semigroup associated with the discrete Laplacian

Jorge J. Betancor, Lourdes Rodr\'iguez Mesa, V\'ictor Almeida

arxiv:1810.10415 v1 · 2018-10-24 · math.CA · 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{F52PZP44VCV55CTNKCCNYNE37F}

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	2026-05-18T00:02:23.189537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f74fcbf9ca8abde8a6d5084dc349bf944e5125f976ecb31e50714bddb08fbcf

Aliases

arxiv: 1810.10415 · arxiv_version: 1810.10415v1 · doi: 10.48550/arxiv.1810.10415 · pith_short_12: F52PZP44VCV5 · pith_short_16: F52PZP44VCV55CTN · pith_short_8: F52PZP44

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/F52PZP44VCV55CTNKCCNYNE37F \
  | 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: 2f74fcbf9ca8abde8a6d5084dc349bf944e5125f976ecb31e50714bddb08fbcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58bbdbc0a012d655c2585a392c03eee177fbb7e833ad14b76492cf415371a0dd",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-10-24T14:21:25Z",
    "title_canon_sha256": "33ec0ad62d99eb8da152efc0f6423e2c6a12439d9a2c8366e5c36a65b2b9f09b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10415",
    "kind": "arxiv",
    "version": 1
  }
}