Pith Number

pith:IY333TSQ

pith:2014:IY333TSQQ46WTPKZTKTOVOUHFP

not attested not anchored not stored refs pending

Bolza quaternion order and asymptotics of systoles along congruence subgroups

Karin Katz, Michael Schein, Mikhail Katz, Uzi Vishne

arxiv:1405.5454 v2 · 2014-05-21 · math.DG · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IY333TSQQ46WTPKZTKTOVOUHFP}

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	2026-05-18T01:36:48.352757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4637bdce50873d69bd599aa6eaba872bc51dc621d27b2376a18793e791b8947b

Aliases

arxiv: 1405.5454 · arxiv_version: 1405.5454v2 · doi: 10.48550/arxiv.1405.5454 · pith_short_12: IY333TSQQ46W · pith_short_16: IY333TSQQ46WTPKZ · pith_short_8: IY333TSQ

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/IY333TSQQ46WTPKZTKTOVOUHFP \
  | 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: 4637bdce50873d69bd599aa6eaba872bc51dc621d27b2376a18793e791b8947b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5901285f3128b92d43c0d86e4abf03f5dc37487574b7ae9ec56a2ccda6aca08a",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-05-21T15:25:16Z",
    "title_canon_sha256": "994e0523ae190f05d3bbb14ddc0d247ec683f0d5c9608f0c43e00b6f84a4e7c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5454",
    "kind": "arxiv",
    "version": 2
  }
}