Pith Number

pith:T5JOLXCV

pith:2022:T5JOLXCVVLQP3X4FM22X54ZYLQ

not attested not anchored not stored refs pending

Variational principles for Feldman-Katok metric mean dimension

Ercai Chen, Rui Yang, Yunxiang Xie

arxiv:2208.09645 v2 · 2022-08-20 · 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{T5JOLXCVVLQP3X4FM22X54ZYLQ}

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	2026-07-05T06:58:53.326810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f52e5dc55aae0fddf8566b57ef3385c0af285c8c3cde7df5e3cfe58a35dab7a

Aliases

arxiv: 2208.09645 · arxiv_version: 2208.09645v2 · doi: 10.48550/arxiv.2208.09645 · pith_short_12: T5JOLXCVVLQP · pith_short_16: T5JOLXCVVLQP3X4F · pith_short_8: T5JOLXCV

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/T5JOLXCVVLQP3X4FM22X54ZYLQ \
  | 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: 9f52e5dc55aae0fddf8566b57ef3385c0af285c8c3cde7df5e3cfe58a35dab7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6637b32a0ed9f031f9913e2558d2883adebd40ff111ea8f55460236e0de909e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-08-20T09:20:52Z",
    "title_canon_sha256": "c83aecca505ce9d781c3797a7d45eb98658f829eba137c915618c38f073e2309"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.09645",
    "kind": "arxiv",
    "version": 2
  }
}