Pith Number

pith:TYXTUWV6

pith:2012:TYXTUWV6CWDNH7VFBZB7FMMKUO

not attested not anchored not stored refs pending

L1-determined ideals in group algebras of exponential Lie groups

Oliver Ungermann

arxiv:1202.4960 v1 · 2012-02-22 · 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{TYXTUWV6CWDNH7VFBZB7FMMKUO}

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	2026-05-18T04:01:40.186191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e2f3a5abe1586d3fea50e43f2b18aa3b2d20c18eb8b32429cfc229b13eb5d5a

Aliases

arxiv: 1202.4960 · arxiv_version: 1202.4960v1 · doi: 10.48550/arxiv.1202.4960 · pith_short_12: TYXTUWV6CWDN · pith_short_16: TYXTUWV6CWDNH7VF · pith_short_8: TYXTUWV6

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/TYXTUWV6CWDNH7VFBZB7FMMKUO \
  | 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: 9e2f3a5abe1586d3fea50e43f2b18aa3b2d20c18eb8b32429cfc229b13eb5d5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cc030aaa71de4f6f0b066a19a3e81129d88df3a0f71e8aeef4ebeb18c185a5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-02-22T16:34:21Z",
    "title_canon_sha256": "80dc5da848fefcd132234451bc542f9af6d5aace9458468eac716bc9f25c6036"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4960",
    "kind": "arxiv",
    "version": 1
  }
}