Pith Number

pith:MNCFVY4M

pith:2010:MNCFVY4MPHUOR3XLLXHKT4FG3A

not attested not anchored not stored refs pending

The AKNS Hierarchy Integrability Analysis Revisited: The Vertex Operator Approach and its Lie-Algebraic Structure

A.K. Prykarpatsky, D. Blackmore

arxiv:1012.1024 v2 · 2010-12-05 · nlin.SI · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNCFVY4MPHUOR3XLLXHKT4FG3A}

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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.

Receipt and verification

First computed	2026-05-18T04:18:04.322335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63445ae38c79e8e8eeeb5dcea9f0a6d82bab22c7053ea2db6b9721fd0287cac2

Aliases

arxiv: 1012.1024 · arxiv_version: 1012.1024v2 · doi: 10.48550/arxiv.1012.1024 · pith_short_12: MNCFVY4MPHUO · pith_short_16: MNCFVY4MPHUOR3XL · pith_short_8: MNCFVY4M

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/MNCFVY4MPHUOR3XLLXHKT4FG3A \
  | 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: 63445ae38c79e8e8eeeb5dcea9f0a6d82bab22c7053ea2db6b9721fd0287cac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "976cb3ed0603e5460caa3c300469f47df1d2ccf95324a823eae1be36a30b09ad",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2010-12-05T18:26:07Z",
    "title_canon_sha256": "4ce359a5ecf38d2c024edb00611d1bde371035e9dad30546925770f42e42fa2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1024",
    "kind": "arxiv",
    "version": 2
  }
}