Pith Number

pith:NYZ2T3KQ

pith:2008:NYZ2T3KQV33543FGPWC5YABFBP

not attested not anchored not stored refs pending

Matrix biorthogonal polynomials on the unit circle and non-Abelian Ablowitz-Ladik hierarchy

Mattia Cafasso

arxiv:0804.3572 v4 · 2008-04-22 · math.CA · math-ph · math.MP · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NYZ2T3KQV33543FGPWC5YABFBP}

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	2026-05-18T03:21:46.054588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e33a9ed50aef7de6ca67d85dc00250bfce2ef8e28d8110d729c8ba44acc1429

Aliases

arxiv: 0804.3572 · arxiv_version: 0804.3572v4 · doi: 10.48550/arxiv.0804.3572 · pith_short_12: NYZ2T3KQV335 · pith_short_16: NYZ2T3KQV33543FG · pith_short_8: NYZ2T3KQ

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/NYZ2T3KQV33543FGPWC5YABFBP \
  | 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: 6e33a9ed50aef7de6ca67d85dc00250bfce2ef8e28d8110d729c8ba44acc1429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cb37583a44311a935abafdc506dcd0c868761115ff621a811db1348f706a143",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-04-22T17:32:17Z",
    "title_canon_sha256": "634b90e7ac2f61825cf29d20dd38fcb075432b72b3c1b83dbec278d44797c151"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3572",
    "kind": "arxiv",
    "version": 4
  }
}