Pith Number

pith:UA5V2GSO

pith:2015:UA5V2GSOYOJPC5SEHOUQ6TMSOL

not attested not anchored not stored refs pending

On the $\Sigma$-invariants of generalized Thompson groups and Houghton groups

Matthew C. B. Zaremsky

arxiv:1502.02620 v1 · 2015-02-09 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UA5V2GSOYOJPC5SEHOUQ6TMSOL}

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	2026-05-18T02:27:41.671028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a03b5d1a4ec392f176443ba90f4d9272fadbeda9bd10ab9f592dd2b6d2d15f8c

Aliases

arxiv: 1502.02620 · arxiv_version: 1502.02620v1 · doi: 10.48550/arxiv.1502.02620 · pith_short_12: UA5V2GSOYOJP · pith_short_16: UA5V2GSOYOJPC5SE · pith_short_8: UA5V2GSO

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/UA5V2GSOYOJPC5SEHOUQ6TMSOL \
  | 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: a03b5d1a4ec392f176443ba90f4d9272fadbeda9bd10ab9f592dd2b6d2d15f8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a5cb2e79e01242f19e97026df0e9f23761de9fc7783416186a3b0cf460f4584",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-02-09T19:33:15Z",
    "title_canon_sha256": "e627d3fcb117e2e626c5659a028816623f8bd2d67b101c55003aba7be7d9f940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02620",
    "kind": "arxiv",
    "version": 1
  }
}