Pith Number

pith:WJZLLSLD

pith:2025:WJZLLSLDMHZXSSDQFITRXYA7A6

not attested not anchored not stored refs pending

Some remarks on decay in countable groups and amalgamated free products

Gregory Patchell, Lizzy Teryoshin, Srivatsav Kunnawalkam Elayavalli

arxiv:2509.08754 v1 · 2025-09-10 · math.GR · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJZLLSLDMHZXSSDQFITRXYA7A6}

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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

3 papers in Pith

Gromov's Simplicial Volume Vanishing Conjecture for Positive Scalar Curvature and Fundamental Group Decay

Pureness and stable rank one for reduced twisted group $\mathrm{C}^\ast$-algebras of certain group extensions

Selfless reduced amalgamated free products and HNN extensions

Receipt and verification

First computed	2026-07-05T12:08:35.477390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b272b5c96361f37948702a271be01f078cec4a9b18719d2ccc496b73a059901a

Aliases

arxiv: 2509.08754 · arxiv_version: 2509.08754v1 · doi: 10.48550/arxiv.2509.08754 · pith_short_12: WJZLLSLDMHZX · pith_short_16: WJZLLSLDMHZXSSDQ · pith_short_8: WJZLLSLD

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/WJZLLSLDMHZXSSDQFITRXYA7A6 \
  | 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: b272b5c96361f37948702a271be01f078cec4a9b18719d2ccc496b73a059901a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf01ad91a79a5625d2a1ccf987bbed46ee60e169f2ec4dab2b506a85df879cca",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-09-10T16:43:26Z",
    "title_canon_sha256": "baf60b237a6770fbca2d92ee26c0755cb57999327338c92cfc7b25a3f0ecbeb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.08754",
    "kind": "arxiv",
    "version": 1
  }
}