Pith Number

pith:MQ2KRNBZ

pith:2025:MQ2KRNBZXIL6LTGTWDIHESX2CS

not attested not anchored not stored refs pending

The second integral homology of even Artin groups

Toshiyuki Akita

arxiv:2507.04577 v2 · 2025-07-06 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQ2KRNBZXIL6LTGTWDIHESX2CS}

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.

Cited by

1 paper in Pith

Groups admitting Wirtinger presentations and Gromov hyperbolic groups

Receipt and verification

First computed	2026-07-05T11:33:26.679895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6434a8b439ba17e5ccd3b0d0724afa14bc3d1555e9d70cfde8ce739102ef7a52

Aliases

arxiv: 2507.04577 · arxiv_version: 2507.04577v2 · doi: 10.48550/arxiv.2507.04577 · pith_short_12: MQ2KRNBZXIL6 · pith_short_16: MQ2KRNBZXIL6LTGT · pith_short_8: MQ2KRNBZ

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/MQ2KRNBZXIL6LTGTWDIHESX2CS \
  | 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: 6434a8b439ba17e5ccd3b0d0724afa14bc3d1555e9d70cfde8ce739102ef7a52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a167fd0dea5bc0b1a56bde4428331de921324e691c912938fd8464225b7eeb6",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-07-06T23:24:22Z",
    "title_canon_sha256": "f3b07ff6e9712081c8f8c15d8b5115beb37c635499a960b38c8fdb77cb05676e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04577",
    "kind": "arxiv",
    "version": 2
  }
}