Pith Number

pith:CFNKJJRY

pith:2017:CFNKJJRYCUTF54CIE7XRZMXYVL

not attested not anchored not stored refs pending

A breakdown of injectivity for weighted ray transforms in multidimensions

Fedor Goncharov (CMAP), Roman Novikov (CMAP)

arxiv:1711.06163 v4 · 2017-11-15 · 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{CFNKJJRYCUTF54CIE7XRZMXYVL}

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	2026-05-18T00:20:16.499486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

115aa4a63815265ef04827ef1cb2f8aacd4d546bcb8126609e633c87424bde27

Aliases

arxiv: 1711.06163 · arxiv_version: 1711.06163v4 · doi: 10.48550/arxiv.1711.06163 · pith_short_12: CFNKJJRYCUTF · pith_short_16: CFNKJJRYCUTF54CI · pith_short_8: CFNKJJRY

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/CFNKJJRYCUTF54CIE7XRZMXYVL \
  | 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: 115aa4a63815265ef04827ef1cb2f8aacd4d546bcb8126609e633c87424bde27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23f96ed590eb1d76c43bdd082d521666b7ab48f4c3f7494e1b01d3155675a2e7",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-15T12:40:29Z",
    "title_canon_sha256": "e53626f228198e80467d5e1aed291e46045c80a3e82f837884e844fe854b3f8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06163",
    "kind": "arxiv",
    "version": 4
  }
}