Pith Number

pith:DI5LBX6T

pith:2009:DI5LBX6T4F5W47BLACDYDHCOR2

not attested not anchored not stored refs pending

Integral transformation and Darboux transformation

Kouichi Takemura

arxiv:0911.2162 v1 · 2009-11-11 · math.CA · 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{DI5LBX6T4F5W47BLACDYDHCOR2}

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	2026-05-18T02:34:11.222745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a3ab0dfd3e17b6e7c2b0087819c4e8e86378bc2094d0c0d09260163f3802008

Aliases

arxiv: 0911.2162 · arxiv_version: 0911.2162v1 · doi: 10.48550/arxiv.0911.2162 · pith_short_12: DI5LBX6T4F5W · pith_short_16: DI5LBX6T4F5W47BL · pith_short_8: DI5LBX6T

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/DI5LBX6T4F5W47BLACDYDHCOR2 \
  | 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: 1a3ab0dfd3e17b6e7c2b0087819c4e8e86378bc2094d0c0d09260163f3802008

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "908bbfe631cb0775ffe17528d8d3bef63f840433bad6b26c57b569a127e010d9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-11-11T15:39:29Z",
    "title_canon_sha256": "8a2a9a5f2ccc0f038dd58f17ec216079af04c22a8a9ae5f801567a5be533d50b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2162",
    "kind": "arxiv",
    "version": 1
  }
}