Pith Number

pith:I3O7QZFM

pith:2018:I3O7QZFM3OZABUDQLOPFGLPPDL

not attested not anchored not stored refs pending

Singular integrals and Hardy type spaces for the inverse Gauss measure

Tommaso Bruno

arxiv:1801.09000 v1 · 2018-01-26 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3O7QZFM3OZABUDQLOPFGLPPDL}

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	2026-05-18T00:24:58.908096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46ddf864acdbb200d0705b9e532def1aedfa1c22c680016960e26acfea4b5750

Aliases

arxiv: 1801.09000 · arxiv_version: 1801.09000v1 · doi: 10.48550/arxiv.1801.09000 · pith_short_12: I3O7QZFM3OZA · pith_short_16: I3O7QZFM3OZABUDQ · pith_short_8: I3O7QZFM

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/I3O7QZFM3OZABUDQLOPFGLPPDL \
  | 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: 46ddf864acdbb200d0705b9e532def1aedfa1c22c680016960e26acfea4b5750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e91005008addf9ef17e290e7d01fe8d535077946a181e3231f64fc438d34f287",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-26T22:52:49Z",
    "title_canon_sha256": "fcd832c5d2573575b6acfec63dc1ce63e9962a2d128ca1bb902a4d2725417971"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09000",
    "kind": "arxiv",
    "version": 1
  }
}