Pith Number

pith:SNLVLGUT

pith:2010:SNLVLGUTKAX2MRWZZP3EMYXC2P

not attested not anchored not stored refs pending

Lifts and vertex pairs in solvable groups

James P. Cossey, Mark L. Lewis

arxiv:1010.2380 v1 · 2010-10-12 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNLVLGUTKAX2MRWZZP3EMYXC2P}

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	2026-05-18T04:39:28.143982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9357559a93502fa646d9cbf64662e2d3f1f63cbac3c3973e036c0a40b7a42571

Aliases

arxiv: 1010.2380 · arxiv_version: 1010.2380v1 · doi: 10.48550/arxiv.1010.2380 · pith_short_12: SNLVLGUTKAX2 · pith_short_16: SNLVLGUTKAX2MRWZ · pith_short_8: SNLVLGUT

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/SNLVLGUTKAX2MRWZZP3EMYXC2P \
  | 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: 9357559a93502fa646d9cbf64662e2d3f1f63cbac3c3973e036c0a40b7a42571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87c545725448ab3cd25bf04581ee4f13f82b6dffca38552ae4648c9e23b29419",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-10-12T13:07:42Z",
    "title_canon_sha256": "cf545fb85d8ce9e088d28b698efce6a14f38d29c8b55e425c171cb7d5b523952"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2380",
    "kind": "arxiv",
    "version": 1
  }
}