Pith Number

pith:XO5IH6MU

pith:1993:XO5IH6MULKX6ODE6VRUSOFGNOD

not attested not anchored not stored refs pending

From Schr\"odinger spectra to orthogonal polynomials, via a functional equation

Arieh Iserles

arxiv:math/9311210 v1 · 1993-11-17 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XO5IH6MULKX6ODE6VRUSOFGNOD}

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	2026-05-18T01:05:51.787282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbba83f9945aafe70c9eac692714cd70d13bdfb7124425572d1122abf02390b4

Aliases

arxiv: math/9311210 · arxiv_version: math/9311210v1 · doi: 10.48550/arxiv.math/9311210 · pith_short_12: XO5IH6MULKX6 · pith_short_16: XO5IH6MULKX6ODE6 · pith_short_8: XO5IH6MU

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/XO5IH6MULKX6ODE6VRUSOFGNOD \
  | 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: bbba83f9945aafe70c9eac692714cd70d13bdfb7124425572d1122abf02390b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6a809abea518ee1f04b372a574466854d02fc8a079c76e9f9e2c6910ec760d3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "1993-11-17T00:00:00Z",
    "title_canon_sha256": "d4d7e7a536035c1b95f3a747457506c7788a0c90ebc02fc6f77c1ba0f6f9c6e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9311210",
    "kind": "arxiv",
    "version": 1
  }
}