Pith Number

pith:C7TH6SNP

pith:2015:C7TH6SNP4YBKQKGQYAVL2KRGQQ

not attested not anchored not stored refs pending

Dirichlet spaces with superharmonic weights and de Branges-Rovnyak spaces

Hubert Klaja, Javad Mashreghi, Karim Kellay, Omar El-Fallah, Thomas Ransford

arxiv:1510.08130 v1 · 2015-10-27 · math.CV · 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{C7TH6SNP4YBKQKGQYAVL2KRGQQ}

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	2026-05-18T01:28:37.302562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17e67f49afe602a828d0c02abd2a268408ec6debbb3e32c50bb3b1801e6ad8b4

Aliases

arxiv: 1510.08130 · arxiv_version: 1510.08130v1 · doi: 10.48550/arxiv.1510.08130 · pith_short_12: C7TH6SNP4YBK · pith_short_16: C7TH6SNP4YBKQKGQ · pith_short_8: C7TH6SNP

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/C7TH6SNP4YBKQKGQYAVL2KRGQQ \
  | 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: 17e67f49afe602a828d0c02abd2a268408ec6debbb3e32c50bb3b1801e6ad8b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "712324658ea4856dd0ec53ca2a92d949861bc092c2cbe4c4215840d618d9789e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-10-27T23:32:07Z",
    "title_canon_sha256": "4cf5eb17b497acb8a619862e1e63ca2d029d9c17d5f4e0ffb863997d28b7eba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08130",
    "kind": "arxiv",
    "version": 1
  }
}