Pith Number

pith:YTG34IVE

pith:2022:YTG34IVE7CXUEOKXEAMSD47GBD

not attested not anchored not stored refs pending

Bowen's equations for upper metric mean dimension with potential

Ercai Chen, Rui Yang, Xiaoyao Zhou

arxiv:2201.05855 v2 · 2022-01-15 · 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{YTG34IVE7CXUEOKXEAMSD47GBD}

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	2026-07-05T04:52:47.386526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4cdbe22a4f8af423957201921f3e608d8b6abb6684564d3621fb17e746c9fa1

Aliases

arxiv: 2201.05855 · arxiv_version: 2201.05855v2 · doi: 10.48550/arxiv.2201.05855 · pith_short_12: YTG34IVE7CXU · pith_short_16: YTG34IVE7CXUEOKX · pith_short_8: YTG34IVE

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/YTG34IVE7CXUEOKXEAMSD47GBD \
  | 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: c4cdbe22a4f8af423957201921f3e608d8b6abb6684564d3621fb17e746c9fa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74f2cc5be669e38bdae97aafb11a370802d6cbf8c71a7eaa3318093d5cc9ec60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-01-15T14:03:16Z",
    "title_canon_sha256": "6b5aff709700a6dc66405559dbe096162bbd3596e503aa164f86a87a980cceba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.05855",
    "kind": "arxiv",
    "version": 2
  }
}