Pith Number

pith:QBBYEX5O

pith:2011:QBBYEX5O55U3UQTVT5G7UJB2JK

not attested not anchored not stored refs pending

Correction of a theorem on the symmetric group generated by transvections

Hau-wen Huang

arxiv:1108.2409 v2 · 2011-08-03 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBBYEX5O55U3UQTVT5G7UJB2JK}

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	2026-05-18T03:48:48.126182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8043825faeef69ba42759f4dfa243a4abd2f03112e085d1e3a6003d72159656f

Aliases

arxiv: 1108.2409 · arxiv_version: 1108.2409v2 · doi: 10.48550/arxiv.1108.2409 · pith_short_12: QBBYEX5O55U3 · pith_short_16: QBBYEX5O55U3UQTV · pith_short_8: QBBYEX5O

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/QBBYEX5O55U3UQTVT5G7UJB2JK \
  | 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: 8043825faeef69ba42759f4dfa243a4abd2f03112e085d1e3a6003d72159656f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb95c12476c8985971067dacc52eb249641861ca9773c9a2d9454f7cc019c98e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-08-03T03:59:05Z",
    "title_canon_sha256": "45c25a149466716ae075a47c5ebe595e32ce2915ab4d526149e081a2d2b8d4e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2409",
    "kind": "arxiv",
    "version": 2
  }
}