Pith Number

pith:NQTUYBFZ

pith:2009:NQTUYBFZWDB3OS7FSOKKLLJEOX

not attested not anchored not stored refs pending

Universal deformation rings for the symmetric group S_5 and one of its double covers

Frauke M. Bleher, Jennifer B. Froelich

arxiv:0904.0031 v2 · 2009-03-31 · 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{NQTUYBFZWDB3OS7FSOKKLLJEOX}

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	2026-05-18T04:33:49.968608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c274c04b9b0c3b74be59394a5ad2475dda0f7a09cf8b55d754723c64f6311dd

Aliases

arxiv: 0904.0031 · arxiv_version: 0904.0031v2 · doi: 10.48550/arxiv.0904.0031 · pith_short_12: NQTUYBFZWDB3 · pith_short_16: NQTUYBFZWDB3OS7F · pith_short_8: NQTUYBFZ

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/NQTUYBFZWDB3OS7FSOKKLLJEOX \
  | 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: 6c274c04b9b0c3b74be59394a5ad2475dda0f7a09cf8b55d754723c64f6311dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce13b7586561d3e8b60157b792d0e9e960e5e987297a1a5f3fe286bc0e83d2da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-03-31T23:15:54Z",
    "title_canon_sha256": "2cc0920a5f324c4a6e84df84efdcfec68594d5cf48718c9aaccbd46cdd28b4c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0031",
    "kind": "arxiv",
    "version": 2
  }
}