Pith Number

pith:MKACQA5B

pith:2022:MKACQA5BIZYTHF7ZW57LGL4U6D

not attested not anchored not stored refs pending

Measure-theoretic metric mean dimension

Ercai Chen, Rui Yang, Xiaoyao Zhou

arxiv:2203.12251 v5 · 2022-03-23 · 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{MKACQA5BIZYTHF7ZW57LGL4U6D}

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	2026-07-05T09:01:21.811680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62802803a146713397f9b77eb32f94f0c4a1c1559997cc50c2c29da949af5e43

Aliases

arxiv: 2203.12251 · arxiv_version: 2203.12251v5 · doi: 10.48550/arxiv.2203.12251 · pith_short_12: MKACQA5BIZYT · pith_short_16: MKACQA5BIZYTHF7Z · pith_short_8: MKACQA5B

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/MKACQA5BIZYTHF7ZW57LGL4U6D \
  | 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: 62802803a146713397f9b77eb32f94f0c4a1c1559997cc50c2c29da949af5e43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7861165f209a0fe020e1335c9f72e9bb2499890244a92acba34bdeef71288c1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-03-23T07:50:41Z",
    "title_canon_sha256": "764435ea760cf8b08860748bb7d4570563e5099f25d29ba7a25bff3a3e7c9f82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.12251",
    "kind": "arxiv",
    "version": 5
  }
}