Pith Number

pith:EQIBWTKR

pith:2010:EQIBWTKRCXXZAHI2FO5EC6D33F

not attested not anchored not stored refs pending

Multiple orthogonal polynomials of mixed type: Gauss-Borel factorization and the multi-component 2D Toda hierarchy

Carlos \'Alvarez-Fern\'andez, Manuel Ma\~nas, Ulises Fidalgo Prieto

arxiv:1004.3916 v4 · 2010-04-22 · 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{EQIBWTKRCXXZAHI2FO5EC6D33F}

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	2026-05-18T03:07:55.215704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24101b4d5115ef901d1a2bba41787bd975d78ce991dbb07ac03644699d8fd90b

Aliases

arxiv: 1004.3916 · arxiv_version: 1004.3916v4 · doi: 10.48550/arxiv.1004.3916 · pith_short_12: EQIBWTKRCXXZ · pith_short_16: EQIBWTKRCXXZAHI2 · pith_short_8: EQIBWTKR

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/EQIBWTKRCXXZAHI2FO5EC6D33F \
  | 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: 24101b4d5115ef901d1a2bba41787bd975d78ce991dbb07ac03644699d8fd90b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a21d238759027830e718a63e18f76aaeee04facf8e9414eb30545448482a0dc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-04-22T13:30:57Z",
    "title_canon_sha256": "6ad7fa431d7c86ecbac1c8802145c8bb32a3685b9485c04604e549d0b6ba54b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3916",
    "kind": "arxiv",
    "version": 4
  }
}