Pith Number

pith:GP7B6S75

pith:2018:GP7B6S75T3SM2KLYMRVKO77JTB

not attested not anchored not stored refs pending

Linear space properties of $H^p$ spaces of Dirichlet series

Andriy Bondarenko, Eero Saksman, Kristian Seip, Ole Fredrik Brevig

arxiv:1801.06515 v2 · 2018-01-19 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GP7B6S75T3SM2KLYMRVKO77JTB}

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	2026-07-05T00:02:10.882073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33fe1f4bfd9ee4cd2978646aa77fe99867ba92291ced60a832ca3207dfbf06d3

Aliases

arxiv: 1801.06515 · arxiv_version: 1801.06515v2 · doi: 10.48550/arxiv.1801.06515 · pith_short_12: GP7B6S75T3SM · pith_short_16: GP7B6S75T3SM2KLY · pith_short_8: GP7B6S75

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/GP7B6S75T3SM2KLYMRVKO77JTB \
  | 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: 33fe1f4bfd9ee4cd2978646aa77fe99867ba92291ced60a832ca3207dfbf06d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97ae16e17691900e9ff370e10cc83408e800f26c49aeb493e611859dd7abf629",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-19T18:16:23Z",
    "title_canon_sha256": "873b6377ec98b39b762c7b440c0e078fadff8e6a8b0ec6ab3425d62dd4bdf2fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06515",
    "kind": "arxiv",
    "version": 2
  }
}