Pith Number

pith:6LHXQZRZ

pith:2012:6LHXQZRZRFTCNZXJYLT57B2M6Y

not attested not anchored not stored refs pending

(2,m,n)-groups with Euler characteristic equal to -2^as^b

Nick Gill

arxiv:1205.5246 v1 · 2012-05-17 · 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{6LHXQZRZRFTCNZXJYLT57B2M6Y}

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	2026-05-18T03:55:01.950441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2cf786639896626e6e9c2e7df874cf62bdece3d4ff8cb94d4d010d8a9ff2591

Aliases

arxiv: 1205.5246 · arxiv_version: 1205.5246v1 · doi: 10.48550/arxiv.1205.5246 · pith_short_12: 6LHXQZRZRFTC · pith_short_16: 6LHXQZRZRFTCNZXJ · pith_short_8: 6LHXQZRZ

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/6LHXQZRZRFTCNZXJYLT57B2M6Y \
  | 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: f2cf786639896626e6e9c2e7df874cf62bdece3d4ff8cb94d4d010d8a9ff2591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "177ca3f5af68b173bfeaff5ab7b3b921dffacac284440ace5ebe2bbf6ea0ac16",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-17T08:53:37Z",
    "title_canon_sha256": "a72ea9a9b7b8eab8512691ff7a5bafaa2b7eabe0db7a3c75a1b8eada480d7662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5246",
    "kind": "arxiv",
    "version": 1
  }
}