Pith Number

pith:7SMPTOLO

pith:2011:7SMPTOLO5NFA3MPMN4RDHBMJRJ

not attested not anchored not stored refs pending

Skew-self-adjoint Dirac systems with a rectangular matrix potential: Weyl theory, direct and inverse problems

A.L. Sakhnovich, B. Fritzsche, B. Kirstein, I.Ya. Roitberg

arxiv:1112.1325 v1 · 2011-12-04 · math.CA · math-ph · math.MP · math.SP · 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{7SMPTOLO5NFA3MPMN4RDHBMJRJ}

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	2026-05-18T03:39:51.748495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc98f9b96eeb4a0db1ec6f223385898a7af61888578446d7424c60febe899486

Aliases

arxiv: 1112.1325 · arxiv_version: 1112.1325v1 · doi: 10.48550/arxiv.1112.1325 · pith_short_12: 7SMPTOLO5NFA · pith_short_16: 7SMPTOLO5NFA3MPM · pith_short_8: 7SMPTOLO

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/7SMPTOLO5NFA3MPMN4RDHBMJRJ \
  | 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: fc98f9b96eeb4a0db1ec6f223385898a7af61888578446d7424c60febe899486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3e0b93f8cea7c15e933cc67e18d7703fe02ca00acc34a23ea20bccbcea44b74",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-12-04T11:15:27Z",
    "title_canon_sha256": "ec548a74a0a8d69a98c6228677c9ed428a46d7446f5a0be984450eda8ad26259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1325",
    "kind": "arxiv",
    "version": 1
  }
}