Pith Number

pith:CH6KPKCH

pith:2025:CH6KPKCHOUCNJZ27522OMBGDUO

not attested not anchored not stored refs pending

Some questions related to free-by-cyclic groups and tubular groups

Shengkui Ye, Xiaolei Wu

arxiv:2504.14192 v1 · 2025-04-19 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CH6KPKCHOUCNJZ27522OMBGDUO}

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

Characterizing hierarchically hyperbolic free by cyclic groups

Receipt and verification

First computed	2026-07-05T10:51:39.578725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11fca7a8477504d4e75feeb4e604c3a3b333e01a36292b407bbc0a8c7b740fca

Aliases

arxiv: 2504.14192 · arxiv_version: 2504.14192v1 · doi: 10.48550/arxiv.2504.14192 · pith_short_12: CH6KPKCHOUCN · pith_short_16: CH6KPKCHOUCNJZ27 · pith_short_8: CH6KPKCH

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/CH6KPKCHOUCNJZ27522OMBGDUO \
  | 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: 11fca7a8477504d4e75feeb4e604c3a3b333e01a36292b407bbc0a8c7b740fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c9c78f9d3f4d05419f2d6143ed1878d293bd25fbb67a74ddb616e357197d3e7",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-04-19T05:44:31Z",
    "title_canon_sha256": "1b8fdd66f3e736a5bd742a72b17282d171e33563471ea4447f87df7ac3c534c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.14192",
    "kind": "arxiv",
    "version": 1
  }
}