Pith Number

pith:3ULTPDFB

pith:2001:3ULTPDFB67N6ZCNUTJ7W4J74DD

not attested not anchored not stored refs pending

Duality of orthogonal polynomials on a finite set

Alexei Borodin

arxiv:math/0101125 v2 · 2001-01-15 · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ULTPDFB67N6ZCNUTJ7W4J74DD}

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	2026-05-18T01:38:30.073239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd17378ca1f7dbec89b49a7f6e27fc18ea03377fca353885d6c389432febeb72

Aliases

arxiv: math/0101125 · arxiv_version: math/0101125v2 · doi: 10.48550/arxiv.math/0101125 · pith_short_12: 3ULTPDFB67N6 · pith_short_16: 3ULTPDFB67N6ZCNU · pith_short_8: 3ULTPDFB

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/3ULTPDFB67N6ZCNUTJ7W4J74DD \
  | 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: dd17378ca1f7dbec89b49a7f6e27fc18ea03377fca353885d6c389432febeb72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d25c0e324010d75a2e757384715db1069ef49a51d74b304309c719d8314f02d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2001-01-15T20:41:56Z",
    "title_canon_sha256": "76c80419b96163b287795148230c2cdb441f991a61e3ba9f0d956fa3a0172383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0101125",
    "kind": "arxiv",
    "version": 2
  }
}