Pith Number

pith:HS37FN46

pith:2018:HS37FN46R5HHUI7JH6OGDRIFAF

not attested not anchored not stored refs pending

Darboux transformations and second order difference equations

Alina Dobrogowska, David J. Fern\'andez C

arxiv:1807.06895 v1 · 2018-07-18 · math.DS · 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{HS37FN46R5HHUI7JH6OGDRIFAF}

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	2026-05-18T00:10:25.401668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cb7f2b79e8f4e7a23e93f9c61c505015afc560b08161ba660732bc1722d4c2f

Aliases

arxiv: 1807.06895 · arxiv_version: 1807.06895v1 · doi: 10.48550/arxiv.1807.06895 · pith_short_12: HS37FN46R5HH · pith_short_16: HS37FN46R5HHUI7J · pith_short_8: HS37FN46

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/HS37FN46R5HHUI7JH6OGDRIFAF \
  | 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: 3cb7f2b79e8f4e7a23e93f9c61c505015afc560b08161ba660732bc1722d4c2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a92fc377be3228ab3c074f0e9ebd4dc3468ca236415a4ad71ee9853cd338d30",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-07-18T12:42:34Z",
    "title_canon_sha256": "0d2a5efb679a26b8211e0c3769fb0b24f7d1ae233613ca4f373ac582a577c2f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06895",
    "kind": "arxiv",
    "version": 1
  }
}