Pith Number

pith:2I6URTHD

pith:2015:2I6URTHD6NKVJ3QCLJFMGAPRC4

not attested not anchored not stored refs pending

Primitive and totally primitive Fricke families with applications

Dong Hwa Shin, Ho Yun Jung, Ja Kyung Koo

arxiv:1506.06317 v3 · 2015-06-21 · 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{2I6URTHD6NKVJ3QCLJFMGAPRC4}

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	2026-05-18T00:59:34.806612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d23d48cce3f35554ee025a4ac301f1170d3c37000867fecbb7105be1a4d5ceb6

Aliases

arxiv: 1506.06317 · arxiv_version: 1506.06317v3 · doi: 10.48550/arxiv.1506.06317 · pith_short_12: 2I6URTHD6NKV · pith_short_16: 2I6URTHD6NKVJ3QC · pith_short_8: 2I6URTHD

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/2I6URTHD6NKVJ3QCLJFMGAPRC4 \
  | 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: d23d48cce3f35554ee025a4ac301f1170d3c37000867fecbb7105be1a4d5ceb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3f54a35a6a63d44cb315a5c691cce84e515c9a42ddfe547a2526b5e7707d4be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-21T04:32:05Z",
    "title_canon_sha256": "9652e34ba6846b98bcb9d635c98a26936fd942438209386321f5a636c3cc8f1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06317",
    "kind": "arxiv",
    "version": 3
  }
}