Pith Number

pith:ZFK5LTTM

pith:2017:ZFK5LTTMMEC24GBRXJNTK5DMSM

not attested not anchored not stored refs pending

Vanishing of $L^{2}$-Betti numbers and failure of acylindrical hyperbolicity of matrix groups over rings

Feng Ji, Shengkui Ye

arxiv:1703.00107 v1 · 2017-03-01 · math.AT · 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{ZFK5LTTMMEC24GBRXJNTK5DMSM}

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	2026-05-18T00:20:56.652547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c955d5ce6c6105ae1831ba5b35746c9326d215a226f65d74179d5629a02c7c82

Aliases

arxiv: 1703.00107 · arxiv_version: 1703.00107v1 · doi: 10.48550/arxiv.1703.00107 · pith_short_12: ZFK5LTTMMEC2 · pith_short_16: ZFK5LTTMMEC24GBR · pith_short_8: ZFK5LTTM

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/ZFK5LTTMMEC24GBRXJNTK5DMSM \
  | 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: c955d5ce6c6105ae1831ba5b35746c9326d215a226f65d74179d5629a02c7c82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1acc625e5d36f4d79fe2d6d6a522114bb2bdbb33d5c4afa5b1c78ac5e99bc7a1",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-03-01T02:34:20Z",
    "title_canon_sha256": "f33d17d1edc14834b80caf55d5a3e4bac2e17ff787a81871c2537d0fd347bac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00107",
    "kind": "arxiv",
    "version": 1
  }
}