Pith Number

pith:355G3JQX

pith:2012:355G3JQXLVKCB2RHHKA2MNZLJ7

not attested not anchored not stored refs pending

Uniform families of ergodic operator nets

Marco Schreiber

arxiv:1206.0913 v3 · 2012-06-05 · math.FA · 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{355G3JQXLVKCB2RHHKA2MNZLJ7}

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	2026-05-18T03:46:58.809161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df7a6da6175d5420ea273a81a6372b4fc7a85a86426916880b4090e07c31a96b

Aliases

arxiv: 1206.0913 · arxiv_version: 1206.0913v3 · doi: 10.48550/arxiv.1206.0913 · pith_short_12: 355G3JQXLVKC · pith_short_16: 355G3JQXLVKCB2RH · pith_short_8: 355G3JQX

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/355G3JQXLVKCB2RHHKA2MNZLJ7 \
  | 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: df7a6da6175d5420ea273a81a6372b4fc7a85a86426916880b4090e07c31a96b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f97d6693eb9199148a110ab8039299d5ddb493f75fb2c20508962029f6460d4",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-06-05T12:59:23Z",
    "title_canon_sha256": "be3d2004053da18ce21570d06cdf6e1092c77c2d833890c2aee4ff1a51963888"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0913",
    "kind": "arxiv",
    "version": 3
  }
}