Pith Number

pith:Z7GHUSVZ

pith:2011:Z7GHUSVZO4JCJIADINUH26LBEB

not attested not anchored not stored refs pending

Singular values of principal moduli

Dong Hwa Shin, Ja Kyung Koo

arxiv:1102.1174 v2 · 2011-02-06 · 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{Z7GHUSVZO4JCJIADINUH26LBEB}

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	2026-05-18T04:26:22.606931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfcc7a4ab9771224a00343687d79612054bf60f646305a4b7f08339d4245fa2e

Aliases

arxiv: 1102.1174 · arxiv_version: 1102.1174v2 · doi: 10.48550/arxiv.1102.1174 · pith_short_12: Z7GHUSVZO4JC · pith_short_16: Z7GHUSVZO4JCJIAD · pith_short_8: Z7GHUSVZ

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/Z7GHUSVZO4JCJIADINUH26LBEB \
  | 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: cfcc7a4ab9771224a00343687d79612054bf60f646305a4b7f08339d4245fa2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcbb13035d329aefd9a07659ab45f80c861d35c475a7c85ce6515156b8e19427",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-06T17:17:06Z",
    "title_canon_sha256": "b4eef625850de164c131ad7d1aecb6b0260347f0595c493bee7a5e8811eb4e9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1174",
    "kind": "arxiv",
    "version": 2
  }
}