Pith Number

pith:JMNAGN56

pith:2014:JMNAGN565XUU57ZHZI54GBOXEL

not attested not anchored not stored refs pending

Convergence order of the geometric mean errors for Markov-type measures

Sanguo Zhu

arxiv:1410.7032 v1 · 2014-10-26 · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JMNAGN565XUU57ZHZI54GBOXEL}

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	2026-05-18T01:41:39.849396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b1a0337beede94eff27ca3bc305d722d109898cd6d1087832aa1ab25fbb35b9

Aliases

arxiv: 1410.7032 · arxiv_version: 1410.7032v1 · doi: 10.48550/arxiv.1410.7032 · pith_short_12: JMNAGN565XUU · pith_short_16: JMNAGN565XUU57ZH · pith_short_8: JMNAGN56

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/JMNAGN565XUU57ZHZI54GBOXEL \
  | 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: 4b1a0337beede94eff27ca3bc305d722d109898cd6d1087832aa1ab25fbb35b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86bb26d87c1b3440d00995f68c4be37174a111fc13265e9c416f6755b6277bf3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-10-26T14:29:09Z",
    "title_canon_sha256": "1caaf0417463da6b08e1f2e71118fce5eb5cd7d1116d0485517a17ef187da846"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7032",
    "kind": "arxiv",
    "version": 1
  }
}