Pith Number

pith:OEPXABIP

pith:2004:OEPXABIPXW7KISBSIR6GMOIMR7

not attested not anchored not stored refs pending

Completion problems and scattering problems for Dirac type differential equations with singularities

Alexander Sakhnovich, Bernd Fritzsche, Bernd Kirstein

arxiv:math/0409424 v2 · 2004-09-22 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OEPXABIPXW7KISBSIR6GMOIMR7}

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	2026-05-18T04:25:03.658739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

711f70050fbdbea44832447c66390c8fedffca3629053660fd42e917e22bb26b

Aliases

arxiv: math/0409424 · arxiv_version: math/0409424v2 · doi: 10.48550/arxiv.math/0409424 · pith_short_12: OEPXABIPXW7K · pith_short_16: OEPXABIPXW7KISBS · pith_short_8: OEPXABIP

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/OEPXABIPXW7KISBSIR6GMOIMR7 \
  | 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: 711f70050fbdbea44832447c66390c8fedffca3629053660fd42e917e22bb26b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0525eb4dcd6db038f63684492caeac83930f85d575b2e8e74955660e3b8809",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2004-09-22T11:53:09Z",
    "title_canon_sha256": "5f6c45df9bc171ac7688af7e36f892565fb4fadbdaf7b35c8e7992f8ad189a0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409424",
    "kind": "arxiv",
    "version": 2
  }
}