Pith Number

pith:PLVQYFAB

pith:2017:PLVQYFAB2RE6N7QYU32NKOFW3C

not attested not anchored not stored refs pending

A proof of Saitoh's conjecture for conjugate Hardy $H^{2}$ kernels

Qi'an Guan

arxiv:1712.04207 v2 · 2017-12-12 · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLVQYFAB2RE6N7QYU32NKOFW3C}

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	2026-05-18T00:21:34.413928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aeb0c1401d449e6fe18a6f4d538b6d885dea10e463ba6ad34f3e0b14e558cff

Aliases

arxiv: 1712.04207 · arxiv_version: 1712.04207v2 · doi: 10.48550/arxiv.1712.04207 · pith_short_12: PLVQYFAB2RE6 · pith_short_16: PLVQYFAB2RE6N7QY · pith_short_8: PLVQYFAB

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/PLVQYFAB2RE6N7QYU32NKOFW3C \
  | 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: 7aeb0c1401d449e6fe18a6f4d538b6d885dea10e463ba6ad34f3e0b14e558cff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f95f58a8a75c8e71ace3a638e75b84ea6f28b0368715fecc9cb0aa775a350511",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-12-12T10:21:50Z",
    "title_canon_sha256": "3502acc63be41b3af13db4bcf552730f73db31bfdcb27ab512ad3dbf47709fef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04207",
    "kind": "arxiv",
    "version": 2
  }
}