Pith Number

pith:VLNFAVII

pith:2026:VLNFAVII74CVKPRFR7CDTFQGNI

not attested not anchored not stored refs pending

Recurrence Coefficients of the Orthogonal Polynomials for Oscillatory Jacobi-type Weight Functions

Shulin Lyu, Xun Zhou

arxiv:2607.19797 v1 · 2026-07-22 · 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{VLNFAVII74CVKPRFR7CDTFQGNI}

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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	2026-07-23T01:23:59.848590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aada505508ff05553e258fc43996066a171ce8412cc09731dcbee1fc9497a786

Aliases

arxiv: 2607.19797 · arxiv_version: 2607.19797v1 · doi: 10.48550/arxiv.2607.19797 · pith_short_12: VLNFAVII74CV · pith_short_16: VLNFAVII74CVKPRF · pith_short_8: VLNFAVII

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/VLNFAVII74CVKPRFR7CDTFQGNI \
  | 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: aada505508ff05553e258fc43996066a171ce8412cc09731dcbee1fc9497a786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "073fa4ee76793aa028acfa0d3603a6aaff93c36a3e8f0c88d31420c94c6a3cfc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-22T06:21:21Z",
    "title_canon_sha256": "6b9711877c9b1339d5015caa3e7fe3d366414725556224d7b0b758286338e94a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19797",
    "kind": "arxiv",
    "version": 1
  }
}