Pith Number

pith:IA4ADRTZ

pith:2011:IA4ADRTZZ4YH4SXYVYILQX7EWQ

not attested not anchored not stored refs pending

Spectral properties of operators using tridiagonalisation

Erik Koelink, Mourad E. H. Ismail

arxiv:1108.5716 v2 · 2011-08-29 · math.CA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IA4ADRTZZ4YH4SXYVYILQX7EWQ}

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	2026-05-18T02:56:42.605009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

403801c679cf307e4af8ae10b85fe4b41630f8cd8e952ce11bc7c216a83eb632

Aliases

arxiv: 1108.5716 · arxiv_version: 1108.5716v2 · doi: 10.48550/arxiv.1108.5716 · pith_short_12: IA4ADRTZZ4YH · pith_short_16: IA4ADRTZZ4YH4SXY · pith_short_8: IA4ADRTZ

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/IA4ADRTZZ4YH4SXYVYILQX7EWQ \
  | 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: 403801c679cf307e4af8ae10b85fe4b41630f8cd8e952ce11bc7c216a83eb632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6678d3911fd552cadd583beef3b5f0da8bb33ce1f047999f3e8b8f61d2700e85",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-08-29T19:15:29Z",
    "title_canon_sha256": "f02b3c4edbc73d835178dbce3025700aa4b86c082ee5963bef358158928f22d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5716",
    "kind": "arxiv",
    "version": 2
  }
}