Pith Number

pith:WYTCG2SW

pith:1999:WYTCG2SWFGXA2FADD3RQHWTWBH

not attested not anchored not stored refs pending

Singular and maximal Radon transforms: Analysis and geometry

Alexander Nagel, Elias M. Stein, Michael Christ, Stephen Wainger

arxiv:math/9909193 v1 · 1999-09-01 · 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{WYTCG2SWFGXA2FADD3RQHWTWBH}

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	2026-05-18T01:05:32.561459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b626236a5629ae0d14031ee303da7609ece1968c8e0a9475fe49beea39666b8b

Aliases

arxiv: math/9909193 · arxiv_version: math/9909193v1 · doi: 10.48550/arxiv.math/9909193 · pith_short_12: WYTCG2SWFGXA · pith_short_16: WYTCG2SWFGXA2FAD · pith_short_8: WYTCG2SW

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/WYTCG2SWFGXA2FADD3RQHWTWBH \
  | 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: b626236a5629ae0d14031ee303da7609ece1968c8e0a9475fe49beea39666b8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91c9c4af5968237ab10574bda08d5869b3c1bd3dc7a4fc9d969a22c241c295d7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "1999-09-01T00:00:00Z",
    "title_canon_sha256": "8aada26a7abf1ecb0d4158650071a06b637a05a03d86b7ce478a98004a728650"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9909193",
    "kind": "arxiv",
    "version": 1
  }
}