Pith Number

pith:ACMST4OT

pith:2014:ACMST4OTUPAAV3AFQQT7ARDSOP

not attested not anchored not stored refs pending

Rectifiable measures, square functions involving densities, and the Cauchy transform

Xavier Tolsa

arxiv:1408.6979 v2 · 2014-08-29 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACMST4OTUPAAV3AFQQT7ARDSOP}

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	2026-05-18T02:28:13.301472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

009929f1d3a3c00aec058427f0447273e4fb6fe2ceba067da58f19922126fb02

Aliases

arxiv: 1408.6979 · arxiv_version: 1408.6979v2 · doi: 10.48550/arxiv.1408.6979 · pith_short_12: ACMST4OTUPAA · pith_short_16: ACMST4OTUPAAV3AF · pith_short_8: ACMST4OT

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/ACMST4OTUPAAV3AFQQT7ARDSOP \
  | 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: 009929f1d3a3c00aec058427f0447273e4fb6fe2ceba067da58f19922126fb02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f97a4a1ec4d8ef68d6413d437337fe56fbeaf3549f5b31327b3768d333830625",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-08-29T10:59:30Z",
    "title_canon_sha256": "064f622632aaff748ce7a8ede7e800df68b02e0da8c3680f32aff87c5b855182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6979",
    "kind": "arxiv",
    "version": 2
  }
}