Pith Number

pith:7VIKGFAU

pith:2014:7VIKGFAUTMOSH56QEKMSP6COBD

not attested not anchored not stored refs pending

Pointwise convergence of multiple ergodic averages and strictly ergodic models

Song Shao, Wen Huang, Xiangdong Ye

arxiv:1406.5930 v2 · 2014-06-23 · 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{7VIKGFAUTMOSH56QEKMSP6COBD}

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	2026-05-18T00:42:44.679175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd50a314149b1d23f7d0229927f84e08d1a11fe9b561c592ba910c1b521aab05

Aliases

arxiv: 1406.5930 · arxiv_version: 1406.5930v2 · doi: 10.48550/arxiv.1406.5930 · pith_short_12: 7VIKGFAUTMOS · pith_short_16: 7VIKGFAUTMOSH56Q · pith_short_8: 7VIKGFAU

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/7VIKGFAUTMOSH56QEKMSP6COBD \
  | 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: fd50a314149b1d23f7d0229927f84e08d1a11fe9b561c592ba910c1b521aab05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f8474ad78f74c619c89d3884c0c197d2a3c2be0d272ddc5b6a123d2b92f5796",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-06-23T14:44:55Z",
    "title_canon_sha256": "9361ef1f11a0ad118b4f05b810323a997335542a730fefb78d12bfb849f1651b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5930",
    "kind": "arxiv",
    "version": 2
  }
}