Pith Number

pith:NUBVKV7T

pith:2025:NUBVKV7TLX5UDO4EOUBRVAVVS7

not attested not anchored not stored refs pending

Independence and mean sensitivity in minimal systems under group actions

Chunlin Liu, Leiye Xu, Shuhao Zhang

arxiv:2501.15622 v2 · 2025-01-26 · 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{NUBVKV7TLX5UDO4EOUBRVAVVS7}

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	2026-07-05T10:49:35.235734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d035557f35dfb41bb8475031a82b597c2930b74682b2b3f9fa48102686e2df1

Aliases

arxiv: 2501.15622 · arxiv_version: 2501.15622v2 · doi: 10.48550/arxiv.2501.15622 · pith_short_12: NUBVKV7TLX5U · pith_short_16: NUBVKV7TLX5UDO4E · pith_short_8: NUBVKV7T

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/NUBVKV7TLX5UDO4EOUBRVAVVS7 \
  | 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: 6d035557f35dfb41bb8475031a82b597c2930b74682b2b3f9fa48102686e2df1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd347e7f85c433ccf16e82616a6fe84096c8f2c5e341b803d0a054dd29313271",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-01-26T18:06:54Z",
    "title_canon_sha256": "43178539684fd9e58ba3874b31fda1a998a59a439a819221163f5b018fb2d5d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.15622",
    "kind": "arxiv",
    "version": 2
  }
}