Pith Number

pith:HIGDH4UQ

pith:2000:HIGDH4UQZ4I4IMGIQYBLI722FD

not attested not anchored not stored refs pending

Darboux transforms on Band Matrices, Weights and associated Polynomials

Mark Adler, Pierre van Moerbeke

arxiv:nlin/0010048 v2 · 2000-10-27 · nlin.SI · math-ph · math.CA · 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{HIGDH4UQZ4I4IMGIQYBLI722FD}

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.

Cited by

1 paper in Pith

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity

Receipt and verification

First computed	2026-07-04T14:41:36.818090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a0c33f290cf11c430c88602b47f5a28deae5ba98c5ca7a5f756615f6721907a

Aliases

arxiv: nlin/0010048 · arxiv_version: nlin/0010048v2 · doi: 10.48550/arxiv.nlin/0010048 · pith_short_12: HIGDH4UQZ4I4 · pith_short_16: HIGDH4UQZ4I4IMGI · pith_short_8: HIGDH4UQ

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/HIGDH4UQZ4I4IMGIQYBLI722FD \
  | 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: 3a0c33f290cf11c430c88602b47f5a28deae5ba98c5ca7a5f756615f6721907a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bebfeab5dabbf0858e379888987a4a2f85ee62c2eff95de23d42ddf1a8c0b3ad",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "nlin.SI",
    "submitted_at": "2000-10-27T14:34:50Z",
    "title_canon_sha256": "88a5268651076c20237cc1a3434249182496d09f2387ed4f54ad33dc5f6cfd54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0010048",
    "kind": "arxiv",
    "version": 2
  }
}