Pith Number

pith:2SGZMOM4

pith:2013:2SGZMOM4VSYXG24TUUBFFP7EJI

not attested not anchored not stored refs pending

Strictly ergodic models and the convergence of non-conventional pointwise ergodic averages

Song Shao, Wen Huang, Xiangdong Ye

arxiv:1312.7213 v1 · 2013-12-27 · 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{2SGZMOM4VSYXG24TUUBFFP7EJI}

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	2026-05-18T03:03:45.453654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d48d96399cacb1736b93a50252bfe44a27c0408708421edd342f09182702cbef

Aliases

arxiv: 1312.7213 · arxiv_version: 1312.7213v1 · doi: 10.48550/arxiv.1312.7213 · pith_short_12: 2SGZMOM4VSYX · pith_short_16: 2SGZMOM4VSYXG24T · pith_short_8: 2SGZMOM4

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/2SGZMOM4VSYXG24TUUBFFP7EJI \
  | 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: d48d96399cacb1736b93a50252bfe44a27c0408708421edd342f09182702cbef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb7f96e75550af0cf0ec709482041211e12910445beca74e9d30ce79281c56f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-27T08:35:11Z",
    "title_canon_sha256": "117dd81d5cfda40513f22a6bc1c3b2ad55ce1a82f3b49209a5dee2b8992d969c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7213",
    "kind": "arxiv",
    "version": 1
  }
}