Pith Number

pith:7OYGSCGD

pith:2025:7OYGSCGDMYCYBEIN4BHR3KVL7D

not attested not anchored not stored refs pending

On ergodicity of linear actions on $\mathbb{R}^n$ and factoriality of group von Neumann algebras

Chinmay Tamhankar, Soham Chakraborty

arxiv:2510.23864 v3 · 2025-10-27 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OYGSCGDMYCYBEIN4BHR3KVL7D}

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	2026-07-28T01:22:24.202403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbb06908c3660580910de04f1daaabf8d402b66513af9d1c8c6f5c4a73bc0ca2

Aliases

arxiv: 2510.23864 · arxiv_version: 2510.23864v3 · doi: 10.48550/arxiv.2510.23864 · pith_short_12: 7OYGSCGDMYCY · pith_short_16: 7OYGSCGDMYCYBEIN · pith_short_8: 7OYGSCGD

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/7OYGSCGDMYCYBEIN4BHR3KVL7D \
  | 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: fbb06908c3660580910de04f1daaabf8d402b66513af9d1c8c6f5c4a73bc0ca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8eb79a34962b4cc6f61cfc73f9c556bd3a4c7d683d8233fa4529b104c75ea0b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-10-27T21:11:12Z",
    "title_canon_sha256": "1f9fe354ef67968922ce761f9043345de62e6412b3a427c2fdc15c6113993625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.23864",
    "kind": "arxiv",
    "version": 3
  }
}