Pith Number

pith:R66HPLQL

pith:2019:R66HPLQL5VDGCYFN6Z2SCM3RAD

not attested not anchored not stored refs pending

Harmonic conjugates on Bergman spaces induced by doubling weights

Jos\'e \'Angel Pel\'aez, Jouni R\"atty\"a

arxiv:1907.10563 v1 · 2019-07-24 · math.CV · 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{R66HPLQL5VDGCYFN6Z2SCM3RAD}

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	2026-05-17T23:39:37.551887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fbc77ae0bed466160adf67521337100f47640a717c759d69e6706571db51e25

Aliases

arxiv: 1907.10563 · arxiv_version: 1907.10563v1 · doi: 10.48550/arxiv.1907.10563 · pith_short_12: R66HPLQL5VDG · pith_short_16: R66HPLQL5VDGCYFN · pith_short_8: R66HPLQL

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/R66HPLQL5VDGCYFN6Z2SCM3RAD \
  | 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: 8fbc77ae0bed466160adf67521337100f47640a717c759d69e6706571db51e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ad4743356433447e621810008f3a9add530854784a91da6909d76f8cca891e8",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-07-24T17:04:59Z",
    "title_canon_sha256": "31620865a55207276f77cae6faa4789153df9b49ae198eca41b860bb44888eb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10563",
    "kind": "arxiv",
    "version": 1
  }
}