Pith Number

pith:GKXAXI5S

pith:2022:GKXAXI5SPAYG6BB56CLJBP43CQ

not attested not anchored not stored refs pending

Optimal Control From Inverse Scattering via Single-Sided Focusing

Caleb Miller, Dan Merl, George F. Chapline, Jane Pratt, Michael D. Schneider

arxiv:2212.00249 v1 · 2022-12-01 · math.OC · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKXAXI5SPAYG6BB56CLJBP43CQ}

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	2026-07-05T05:21:32.275421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ae0ba3b278306f043df09690bf9b14073b4514851700eacbcd35e1a534b96e

Aliases

arxiv: 2212.00249 · arxiv_version: 2212.00249v1 · doi: 10.48550/arxiv.2212.00249 · pith_short_12: GKXAXI5SPAYG · pith_short_16: GKXAXI5SPAYG6BB5 · pith_short_8: GKXAXI5S

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/GKXAXI5SPAYG6BB56CLJBP43CQ \
  | 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: 32ae0ba3b278306f043df09690bf9b14073b4514851700eacbcd35e1a534b96e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "505b37459a54882f28fe351bc6a89bb1d42ad0c7f04eaa416df7eccbbc0f3f1d",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-12-01T03:32:04Z",
    "title_canon_sha256": "acea43e329c02171ea7a42d65c743668eab7621073e986ffc1d60f735f1a9845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.00249",
    "kind": "arxiv",
    "version": 1
  }
}