Pith Number

pith:G5JLW4EU

pith:2004:G5JLW4EUEELYUU55QRBBG4H43Z

not attested not anchored not stored refs pending

Symmetry and Specializability in the continued fraction expansions of some infinite products

James Mc Laughlin

arxiv:math/0402459 v1 · 2004-02-27 · 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{G5JLW4EUEELYUU55QRBBG4H43Z}

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	2026-05-17T23:57:01.058759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3752bb709421178a53bd84421370fcde48b665f4255fa06823a617b82af48f9f

Aliases

arxiv: math/0402459 · arxiv_version: math/0402459v1 · doi: 10.48550/arxiv.math/0402459 · pith_short_12: G5JLW4EUEELY · pith_short_16: G5JLW4EUEELYUU55 · pith_short_8: G5JLW4EU

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/G5JLW4EUEELYUU55QRBBG4H43Z \
  | 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: 3752bb709421178a53bd84421370fcde48b665f4255fa06823a617b82af48f9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53a2d9321071cfbdd8b7e77a873864ff2efbb61a296442df0753d420371fbf55",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-02-27T18:23:25Z",
    "title_canon_sha256": "1054e524ba33685bec65dffc6e2588b1d52f2e70ab330fbb1d686786204ecc8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402459",
    "kind": "arxiv",
    "version": 1
  }
}