Pith Number

pith:LW54QUAW

pith:2026:LW54QUAWBEMLHVQEE7VLSHXSR4

not attested not anchored not stored refs pending

Conditional Topomorphic Degree and Multivariate Mean Equicontinuity for Minimal Amenable Group Actions

Chunlin Liu

arxiv:2607.27400 v1 · 2026-07-29 · 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{LW54QUAWBEMLHVQEE7VLSHXSR4}

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	2026-07-31T00:11:41.110776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

5dbbc850160918b3d60427eab91ef28f39e4ddbe30e9110ca5e0a18acedcfa42

Aliases

arxiv: 2607.27400 · arxiv_version: 2607.27400v1 · doi: 10.48550/arxiv.2607.27400 · pith_short_12: LW54QUAWBEML · pith_short_16: LW54QUAWBEMLHVQE · pith_short_8: LW54QUAW

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/LW54QUAWBEMLHVQEE7VLSHXSR4 \
  | 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: 5dbbc850160918b3d60427eab91ef28f39e4ddbe30e9110ca5e0a18acedcfa42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ba0154ab359a83f6c9cdf120174a413a6c5c8438a438d993f6af817b3c36b5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-29T19:13:23Z",
    "title_canon_sha256": "dbe91b66e344ada48bbcb8315874163071df8dcc4cfd4f1b2b113621cca5bbdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27400",
    "kind": "arxiv",
    "version": 1
  }
}