Pith Number

pith:BDJNQ75Z

pith:2009:BDJNQ75ZDUEXURTFDQYURXOWJG

not attested not anchored not stored refs pending

Semi-regular continued fractions and an exact formula for the moments of the Minkowski question mark function

Giedrius Alkauskas

arxiv:0912.1039 v1 · 2009-12-06 · 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{BDJNQ75ZDUEXURTFDQYURXOWJG}

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	2026-05-18T04:18:23.626549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08d2d87fb91d097a46651c3148ddd649b20f55d5264e3dfdb8ed36ef2f1b67f7

Aliases

arxiv: 0912.1039 · arxiv_version: 0912.1039v1 · doi: 10.48550/arxiv.0912.1039 · pith_short_12: BDJNQ75ZDUEX · pith_short_16: BDJNQ75ZDUEXURTF · pith_short_8: BDJNQ75Z

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/BDJNQ75ZDUEXURTFDQYURXOWJG \
  | 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: 08d2d87fb91d097a46651c3148ddd649b20f55d5264e3dfdb8ed36ef2f1b67f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7641a283ea8786ec9a38e615952ec7a52384144a3a72d7210207dcb690e57f89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-12-06T18:01:57Z",
    "title_canon_sha256": "99d503c409bd730c90d4ca24eaf4f84784386f0daca5af152d5f8f043599ec3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1039",
    "kind": "arxiv",
    "version": 1
  }
}