Pith Number

pith:ISOTYAW2

pith:2004:ISOTYAW2CBPVSXP3Z6HM265ABQ

not attested not anchored not stored refs pending

Optimization methods in direct and inverse scattering

Alexander G. Ramm, Semion Gutman

arxiv:math/0408209 v1 · 2004-08-16 · math.NA · cs.NA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISOTYAW2CBPVSXP3Z6HM265ABQ}

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	2026-06-03T22:06:15.558045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

449d3c02da105f595dfbcf8ecd7ba00c25e5d2ce5e3b163675a531148390dd9f

Aliases

arxiv: math/0408209 · arxiv_version: math/0408209v1 · doi: 10.48550/arxiv.math/0408209 · pith_short_12: ISOTYAW2CBPV · pith_short_16: ISOTYAW2CBPVSXP3 · pith_short_8: ISOTYAW2

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/ISOTYAW2CBPVSXP3Z6HM265ABQ \
  | 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: 449d3c02da105f595dfbcf8ecd7ba00c25e5d2ce5e3b163675a531148390dd9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70edf73336f59ca38f1a27b4c1ed4fc186782f5269283495c612123aee70258f",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2004-08-16T16:26:40Z",
    "title_canon_sha256": "31eb209fa18843f7c9465e342340cb7fd5b1fdcb2a197dc69d62198941cae9f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408209",
    "kind": "arxiv",
    "version": 1
  }
}