Pith Number

pith:XCX7TJB7

pith:2003:XCX7TJB7AANLAEKP72DEWHHCZQ

not attested not anchored not stored refs pending

Euler's constant, q-logarithms, and formulas of Ramanujan and Gosper

Jonathan Sondow (New York), Wadim Zudilin (Moscow)

arxiv:math/0304021 v1 · 2003-04-02 · math.NT · 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{XCX7TJB7AANLAEKP72DEWHHCZQ}

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	2026-05-18T04:08:43.095746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8aff9a43f001ab0114ffe864b1ce2cc2f85d7d79a9d233ef0117a8321d34f26

Aliases

arxiv: math/0304021 · arxiv_version: math/0304021v1 · doi: 10.48550/arxiv.math/0304021 · pith_short_12: XCX7TJB7AANL · pith_short_16: XCX7TJB7AANLAEKP · pith_short_8: XCX7TJB7

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/XCX7TJB7AANLAEKP72DEWHHCZQ \
  | 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: b8aff9a43f001ab0114ffe864b1ce2cc2f85d7d79a9d233ef0117a8321d34f26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8f947eea485578d405d047993de00d4a6a49483ec1f0b8995f1e231a39d3902",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2003-04-02T13:53:58Z",
    "title_canon_sha256": "cf40eb5ac7b66ceb517924689647db68d863659ebbf72751af691ea0fa4eee6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304021",
    "kind": "arxiv",
    "version": 1
  }
}