Pith Number

pith:HTXXQEPV

pith:2020:HTXXQEPVVM4FE3LRRELNVGOHOW

not attested not anchored not stored refs pending

Vector valued polynomials, exponential polynomials and vector valued harmonic analysis

Miklos Laczkovich

arxiv:2004.08936 v1 · 2020-04-19 · 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{HTXXQEPVVM4FE3LRRELNVGOHOW}

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.

Cited by

1 paper in Pith

CogniSQL-R1-Zero: Lightweight Reinforced Reasoning for Efficient SQL Generation

Receipt and verification

First computed	2026-07-05T01:12:44.449225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cef7811f5ab38526d718916da99c775b03446ac7b87df45c7a601fdafa98dcd

Aliases

arxiv: 2004.08936 · arxiv_version: 2004.08936v1 · doi: 10.48550/arxiv.2004.08936 · pith_short_12: HTXXQEPVVM4F · pith_short_16: HTXXQEPVVM4FE3LR · pith_short_8: HTXXQEPV

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/HTXXQEPVVM4FE3LRRELNVGOHOW \
  | 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: 3cef7811f5ab38526d718916da99c775b03446ac7b87df45c7a601fdafa98dcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52a26020ddf0790ebfae058757b574616e4a0643134d789e47631115e395a7f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-04-19T19:06:07Z",
    "title_canon_sha256": "248c441dd1b77f481e85d1f59f2df2f5c98ebc15b6d530c3b7ec0b36722d261d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.08936",
    "kind": "arxiv",
    "version": 1
  }
}