Pith Number

pith:DBV73DMW

pith:2010:DBV73DMWLDN6BDS4VFBXZEANXH

not attested not anchored not stored refs pending

Darboux transformations of Jacobi matrices and Pad\'e approximation

Maxim Derevyagin, Vladimir Derkach

arxiv:1012.3712 v2 · 2010-12-16 · math.CA · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DBV73DMWLDN6BDS4VFBXZEANXH}

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	2026-05-18T04:20:38.194601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

186bfd8d9658dbe08e5ca9437c900db9e2fb4d549aeb2e1c1bce08dd4e23c37f

Aliases

arxiv: 1012.3712 · arxiv_version: 1012.3712v2 · doi: 10.48550/arxiv.1012.3712 · pith_short_12: DBV73DMWLDN6 · pith_short_16: DBV73DMWLDN6BDS4 · pith_short_8: DBV73DMW

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/DBV73DMWLDN6BDS4VFBXZEANXH \
  | 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: 186bfd8d9658dbe08e5ca9437c900db9e2fb4d549aeb2e1c1bce08dd4e23c37f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94707fe13cca97ed8d765a61c6ba2ec43f5c38e71dc42773c9308f9373c466a6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-12-16T18:39:16Z",
    "title_canon_sha256": "7513c0640aa20c985d16eff2961b7a3842e973f4e28300035da3d2a3696dc55a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3712",
    "kind": "arxiv",
    "version": 2
  }
}