Pith Number

pith:F2Z2KFUZ

pith:2015:F2Z2KFUZXDNKCG25AIJMZAAK3W

not attested not anchored not stored refs pending

Determination of the Fricke families

Dong Hwa Shin, Ick Sun Eum

arxiv:1501.04193 v2 · 2015-01-17 · 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{F2Z2KFUZXDNKCG25AIJMZAAK3W}

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	2026-05-18T01:32:18.793703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eb3a51699b8daa11b5d0212cc800add9907c3e333e0a5cdb90ab01a2c927f3d

Aliases

arxiv: 1501.04193 · arxiv_version: 1501.04193v2 · doi: 10.48550/arxiv.1501.04193 · pith_short_12: F2Z2KFUZXDNK · pith_short_16: F2Z2KFUZXDNKCG25 · pith_short_8: F2Z2KFUZ

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/F2Z2KFUZXDNKCG25AIJMZAAK3W \
  | 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: 2eb3a51699b8daa11b5d0212cc800add9907c3e333e0a5cdb90ab01a2c927f3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8010899478a87c0ef18f5ee9cacb4890fbf691e97fef0634a41950f84d2fd59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-17T11:59:37Z",
    "title_canon_sha256": "70a9ef5d5335bed0ac03a683b35e8f6e224c4ba1e5aabd40b4783664cbb14aad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04193",
    "kind": "arxiv",
    "version": 2
  }
}