Pith Number

pith:2O6YVLHI

pith:2008:2O6YVLHIFIRMCDE5VL5QLPBKOC

not attested not anchored not stored refs pending

The vanishing-off subgroup

Mark L. Lewis

arxiv:0806.2135 v2 · 2008-06-12 · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2O6YVLHIFIRMCDE5VL5QLPBKOC}

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	2026-05-18T02:37:52.445799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3bd8aace82a22c10c9daafb05bc2a709d419e938a74737d25acee8ba6d1f115

Aliases

arxiv: 0806.2135 · arxiv_version: 0806.2135v2 · doi: 10.48550/arxiv.0806.2135 · pith_short_12: 2O6YVLHIFIRM · pith_short_16: 2O6YVLHIFIRMCDE5 · pith_short_8: 2O6YVLHI

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/2O6YVLHIFIRMCDE5VL5QLPBKOC \
  | 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: d3bd8aace82a22c10c9daafb05bc2a709d419e938a74737d25acee8ba6d1f115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b787c83445a77fb327eec09db3ea2684730a1bc24418c61c08d9f028313314f7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-06-12T18:58:19Z",
    "title_canon_sha256": "d5273038d6ca0d41526d0ebdbd01473c99d2f3bbb51911907e656047d4d46e43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.2135",
    "kind": "arxiv",
    "version": 2
  }
}