Pith Number

pith:HG4QEXUP

pith:2013:HG4QEXUPU72LY3ARJXTYCXU6FP

not attested not anchored not stored refs pending

Darboux transformations and Recursion operators for differential--difference equations

Alexander V. Mikhailov, Farbod Khanizadeh, Jing Ping Wang

arxiv:1305.0588 v1 · 2013-05-02 · nlin.SI

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HG4QEXUPU72LY3ARJXTYCXU6FP}

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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.

Cited by

1 paper in Pith

On matrix Lax representations for (1+1)-dimensional evolutionary differential-difference equations

Receipt and verification

First computed	2026-05-18T01:50:12.961523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39b9025e8fa7f4bc6c114de7815e9e2be51ed337bcd7bf3b37b97a95d92c3fac

Aliases

arxiv: 1305.0588 · arxiv_version: 1305.0588v1 · doi: 10.48550/arxiv.1305.0588 · pith_short_12: HG4QEXUPU72L · pith_short_16: HG4QEXUPU72LY3AR · pith_short_8: HG4QEXUP

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/HG4QEXUPU72LY3ARJXTYCXU6FP \
  | 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: 39b9025e8fa7f4bc6c114de7815e9e2be51ed337bcd7bf3b37b97a95d92c3fac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ed2432714ba5fbab8ddfebb09eede8b26891c965aaff1781cae5fc43a9b3dbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2013-05-02T22:40:36Z",
    "title_canon_sha256": "33cc6f0bed121254385d00c43dd01fe5004173afd32962b8ea79ff42056b9444"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0588",
    "kind": "arxiv",
    "version": 1
  }
}