Pith Number

pith:PQPC5EDW

pith:2001:PQPC5EDWV3P7IWZR5OJTLWXP72

not attested not anchored not stored refs pending

Little q-Legendre polynomials and irrationality of certain Lambert series

Walter Van Assche

arxiv:math/0101187 v1 · 2001-01-23 · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQPC5EDWV3P7IWZR5OJTLWXP72}

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	2026-05-18T03:11:24.609465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c1e2e9076aedff45b31eb9335daeffea2b80d5d09b913bf6df16fecc9601e7f

Aliases

arxiv: math/0101187 · arxiv_version: math/0101187v1 · doi: 10.48550/arxiv.math/0101187 · pith_short_12: PQPC5EDWV3P7 · pith_short_16: PQPC5EDWV3P7IWZR · pith_short_8: PQPC5EDW

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/PQPC5EDWV3P7IWZR5OJTLWXP72 \
  | 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: 7c1e2e9076aedff45b31eb9335daeffea2b80d5d09b913bf6df16fecc9601e7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1cf2c5b4677cf983f30b7a7bc562359c6cbd14c4a199a845796fed01ab5ece2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2001-01-23T11:34:32Z",
    "title_canon_sha256": "e33ac2282afcec9992eaba817210c7a58a1780e87512f81dd5100043aca62d63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0101187",
    "kind": "arxiv",
    "version": 1
  }
}