Pith Number

pith:BVCRNMHT

pith:2018:BVCRNMHTZSCBZW47UJO6FNZWIL

not attested not anchored not stored refs pending

Analysis of hyper-singular, fractional, and order-zero singular integral operators

Jarod Hart, Lucas Chaffee, Lucas Oliveira

arxiv:1801.04285 v1 · 2018-01-12 · 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{BVCRNMHTZSCBZW47UJO6FNZWIL}

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	2026-05-18T00:26:07.028161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d4516b0f3cc841cdb9fa25de2b73642ccd47d9798c41aebf69574131900631b

Aliases

arxiv: 1801.04285 · arxiv_version: 1801.04285v1 · doi: 10.48550/arxiv.1801.04285 · pith_short_12: BVCRNMHTZSCB · pith_short_16: BVCRNMHTZSCBZW47 · pith_short_8: BVCRNMHT

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/BVCRNMHTZSCBZW47UJO6FNZWIL \
  | 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: 0d4516b0f3cc841cdb9fa25de2b73642ccd47d9798c41aebf69574131900631b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1956bfb010c7441c0fcc01f465d5be669d4b738b3f5182c64834bcdfdf611101",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-12T19:01:21Z",
    "title_canon_sha256": "22d25d5100347956236d349000e769dbecc2e7df351cb37697238f41fcb5cfa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04285",
    "kind": "arxiv",
    "version": 1
  }
}