Pith Number

pith:VUL5XLWQ

pith:2011:VUL5XLWQZZAGEXZ4AAWC5TEJCM

not attested not anchored not stored refs pending

Generators of Eisenstein--Picard modular group in three complex dimensions

Bao-Hua Xie, Jie-Yan Wang, Yue-ping Jiang

arxiv:1111.6796 v2 · 2011-11-29 · math.CV · 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{VUL5XLWQZZAGEXZ4AAWC5TEJCM}

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	2026-05-18T03:28:54.095462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad17dbaed0ce40625f3c002c2ecc89130ed6465837d29d89d436578566356280

Aliases

arxiv: 1111.6796 · arxiv_version: 1111.6796v2 · doi: 10.48550/arxiv.1111.6796 · pith_short_12: VUL5XLWQZZAG · pith_short_16: VUL5XLWQZZAGEXZ4 · pith_short_8: VUL5XLWQ

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/VUL5XLWQZZAGEXZ4AAWC5TEJCM \
  | 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: ad17dbaed0ce40625f3c002c2ecc89130ed6465837d29d89d436578566356280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "928740013aaf964f2d230c4c28cef40faf83197b68625ebdcbbc7baa1b968e0c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-11-29T12:42:27Z",
    "title_canon_sha256": "61027162b653134fd9c0e85253bc33918ab0c9e3baef4185d5efda54fe1d124a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6796",
    "kind": "arxiv",
    "version": 2
  }
}