Pith Number

pith:CGAAHOS3

pith:2008:CGAAHOS3ND4QCE2P3KAIQGFKTR

not attested not anchored not stored refs pending

Metric and arithmetic properties of mediant-Rosen maps

Cor Kraaikamp, Hitoshi Nakada, Thomas A. Schmidt

arxiv:0812.0548 v1 · 2008-12-02 · 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{CGAAHOS3ND4QCE2P3KAIQGFKTR}

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	2026-05-18T02:15:12.193026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

118003ba5b68f901134fda808818aa9c54a467b730a0da72abf0396b9597835a

Aliases

arxiv: 0812.0548 · arxiv_version: 0812.0548v1 · doi: 10.48550/arxiv.0812.0548 · pith_short_12: CGAAHOS3ND4Q · pith_short_16: CGAAHOS3ND4QCE2P · pith_short_8: CGAAHOS3

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/CGAAHOS3ND4QCE2P3KAIQGFKTR \
  | 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: 118003ba5b68f901134fda808818aa9c54a467b730a0da72abf0396b9597835a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e982402f2373921b069fd1a36a3a212f1a2fc7b7bbad4aa6829f80aaea04bb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-12-02T17:12:35Z",
    "title_canon_sha256": "5891a7a64010a221b696d38ea1eeff1b597a28e99ba8e73d32e3664a9d50b7f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0548",
    "kind": "arxiv",
    "version": 1
  }
}