Pith Number

pith:LKGAVBD3

pith:2012:LKGAVBD3KWPOT2FVBWHEJRO7HC

not attested not anchored not stored refs pending

Discrete Painlev\'e equations and their Lax pairs as reductions of integrable lattice equations

C. M. Ormerod, G. R. W. Quispel, Peter H. van der Kamp

arxiv:1209.4721 v2 · 2012-09-21 · nlin.SI · 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{LKGAVBD3KWPOT2FVBWHEJRO7HC}

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	2026-05-18T03:15:32.568928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a8c0a847b559ee9e8b50d8e44c5df38a6bf1f27c5d69706c6030286033d4d34

Aliases

arxiv: 1209.4721 · arxiv_version: 1209.4721v2 · doi: 10.48550/arxiv.1209.4721 · pith_short_12: LKGAVBD3KWPO · pith_short_16: LKGAVBD3KWPOT2FV · pith_short_8: LKGAVBD3

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/LKGAVBD3KWPOT2FVBWHEJRO7HC \
  | 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: 5a8c0a847b559ee9e8b50d8e44c5df38a6bf1f27c5d69706c6030286033d4d34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "365689da2b6b255f17a7a8edb8448adf439c50a0ebd469f94d25c8511cb69042",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2012-09-21T06:59:45Z",
    "title_canon_sha256": "bf546fa6023bfa762e3a7504764e98981128fee799ca41b70f516233d89adeea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4721",
    "kind": "arxiv",
    "version": 2
  }
}