Pith Number

pith:HF225RPA

pith:2010:HF225RPA7CLWTQGE6PN2SFHVG2

not attested not anchored not stored refs pending

Algebraic integers as special values of modular units

Dong Hwa Shin, Dong Sung Yoon, Ja Kyung Koo

arxiv:1008.0473 v2 · 2010-08-03 · 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{HF225RPA7CLWTQGE6PN2SFHVG2}

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	2026-05-18T04:42:33.470012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3975aec5e0f89769c0c4f3dba914f53687eef239192aed3b236c4dbedb8e7570

Aliases

arxiv: 1008.0473 · arxiv_version: 1008.0473v2 · doi: 10.48550/arxiv.1008.0473 · pith_short_12: HF225RPA7CLW · pith_short_16: HF225RPA7CLWTQGE · pith_short_8: HF225RPA

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/HF225RPA7CLWTQGE6PN2SFHVG2 \
  | 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: 3975aec5e0f89769c0c4f3dba914f53687eef239192aed3b236c4dbedb8e7570

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6ea7919a77708cbd1a1896b8289251b57c8368d788bda68182e686c3fb0315b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-03T07:29:52Z",
    "title_canon_sha256": "630c74687b18c8523f3bddbe7c8afea86fbd2146ffec5cf8824101d7ab384244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0473",
    "kind": "arxiv",
    "version": 2
  }
}