Pith Number

pith:PDIUDDUP

pith:2013:PDIUDDUPQAEJCQLAWU4WJXICLA

not attested not anchored not stored refs pending

New inversion, convolution and Titchmarsh's theorems for the half-Hilbert transform

Semyon Yakubovich

arxiv:1312.1927 v1 · 2013-12-06 · 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{PDIUDDUPQAEJCQLAWU4WJXICLA}

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	2026-05-18T03:05:19.406764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78d1418e8f8008914160b53964dd0258166f9f8909c394f09698ab0ac6a45e63

Aliases

arxiv: 1312.1927 · arxiv_version: 1312.1927v1 · doi: 10.48550/arxiv.1312.1927 · pith_short_12: PDIUDDUPQAEJ · pith_short_16: PDIUDDUPQAEJCQLA · pith_short_8: PDIUDDUP

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/PDIUDDUPQAEJCQLAWU4WJXICLA \
  | 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: 78d1418e8f8008914160b53964dd0258166f9f8909c394f09698ab0ac6a45e63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f88bab240e56c495009ecf660fc4a437b99e58986bfb743df0c4c43ee85e10f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-12-06T16:58:56Z",
    "title_canon_sha256": "a2ec19a752c0f5aafc2b852b234531f5d2e4bff7f45cb618f9a59365ab0e7452"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1927",
    "kind": "arxiv",
    "version": 1
  }
}