Pith Number

pith:Y3EEFTUG

pith:2025:Y3EEFTUGJGYY7CXIF4PND6RAF7

not attested not anchored not stored refs pending

Inverse scattering without phase: Carleman convexification and phase retrieval via the Wentzel--Kramers--Brillouin approximation

Loc H. Nguyen, Phuong M. Nguyen, Thuy T. Le

arxiv:2506.21699 v1 · 2025-06-26 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3EEFTUGJGYY7CXIF4PND6RAF7}

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	2026-07-05T11:27:59.708418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6c842ce8649b18f8ae82f1ed1fa202fcca3167000d2142c4ff8b624a4fb77d2

Aliases

arxiv: 2506.21699 · arxiv_version: 2506.21699v1 · doi: 10.48550/arxiv.2506.21699 · pith_short_12: Y3EEFTUGJGYY · pith_short_16: Y3EEFTUGJGYY7CXI · pith_short_8: Y3EEFTUG

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/Y3EEFTUGJGYY7CXIF4PND6RAF7 \
  | 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: c6c842ce8649b18f8ae82f1ed1fa202fcca3167000d2142c4ff8b624a4fb77d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18768d3ddbf8531d62c6fc51debdc778630d040a6ce7fd445a5ab9a39d68ae55",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-26T18:35:50Z",
    "title_canon_sha256": "9cb56162c7462af875c9ef4b21ae8626cc3ad58cea954dd28f77c1810f84ee16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21699",
    "kind": "arxiv",
    "version": 1
  }
}