Pith Number

pith:YJRUB5JK

pith:2010:YJRUB5JKRAO4ONO64CVQ6ORYXM

not attested not anchored not stored refs pending

Separating invariants for the klein four group and cyclic groups

Martin Kohls, Mufit Sezer

arxiv:1007.5197 v1 · 2010-07-29 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YJRUB5JKRAO4ONO64CVQ6ORYXM}

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	2026-05-18T01:22:09.058768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c26340f52a881dc735dee0ab0f3a38bb1b93c89c48cd7278b41c936f01b9f422

Aliases

arxiv: 1007.5197 · arxiv_version: 1007.5197v1 · doi: 10.48550/arxiv.1007.5197 · pith_short_12: YJRUB5JKRAO4 · pith_short_16: YJRUB5JKRAO4ONO6 · pith_short_8: YJRUB5JK

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/YJRUB5JKRAO4ONO64CVQ6ORYXM \
  | 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: c26340f52a881dc735dee0ab0f3a38bb1b93c89c48cd7278b41c936f01b9f422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "000abac71ec34bf98e5bf029b30bdb7fd94c2517dac2325e39b2884dd28fbef0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-07-29T12:06:55Z",
    "title_canon_sha256": "f83effd3ca93baf0ff223ff28d2aa68e3358367154f5e0414b2b1670bba693aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5197",
    "kind": "arxiv",
    "version": 1
  }
}