Pith Number

pith:ADWCPJCV

pith:2008:ADWCPJCVFAIM35EB5CLM3VL2EX

not attested not anchored not stored refs pending

The $J$-matrix method

Erik Koelink, Mourad E.H. Ismail

arxiv:0810.4558 v2 · 2008-10-24 · 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{ADWCPJCVFAIM35EB5CLM3VL2EX}

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	2026-05-18T02:56:42.705217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00ec27a4552810cdf481e896cdd57a25eb31e6eaedb58ad47e9e97e726dd9cab

Aliases

arxiv: 0810.4558 · arxiv_version: 0810.4558v2 · doi: 10.48550/arxiv.0810.4558 · pith_short_12: ADWCPJCVFAIM · pith_short_16: ADWCPJCVFAIM35EB · pith_short_8: ADWCPJCV

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/ADWCPJCVFAIM35EB5CLM3VL2EX \
  | 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: 00ec27a4552810cdf481e896cdd57a25eb31e6eaedb58ad47e9e97e726dd9cab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90087c719e9e8c71d64c7d0abd11322ebe10e4544bba0248c0121f7235f7a1a7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-10-24T21:53:38Z",
    "title_canon_sha256": "97978fa40caf7c4dbf6beb778279851a2e710e1cd38be17b06632bbb612d9826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.4558",
    "kind": "arxiv",
    "version": 2
  }
}