Pith Number

pith:Z2NQP6O7

pith:2017:Z2NQP6O7LH7INPD4WEXJF3FMYL

not attested not anchored not stored refs pending

The validity space of Dunford-Schwartz ergodic theorem for infinite measure

Semyon Litvinov, Vladimir Chilin

arxiv:1703.04702 v2 · 2017-03-14 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2NQP6O7LH7INPD4WEXJF3FMYL}

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	2026-05-18T00:44:57.131289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce9b07f9df59fe86bc7cb12e92ecacc2f947c05d6927d0255f8f7e5854a22543

Aliases

arxiv: 1703.04702 · arxiv_version: 1703.04702v2 · doi: 10.48550/arxiv.1703.04702 · pith_short_12: Z2NQP6O7LH7I · pith_short_16: Z2NQP6O7LH7INPD4 · pith_short_8: Z2NQP6O7

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/Z2NQP6O7LH7INPD4WEXJF3FMYL \
  | 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: ce9b07f9df59fe86bc7cb12e92ecacc2f947c05d6927d0255f8f7e5854a22543

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3f3d6ab0d49d9e6dabdb565e71b84649be3b9a807912f2ed6a4063ee37416df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-14T20:25:15Z",
    "title_canon_sha256": "c78ec172687bee29c71cb932b3f0417bfd8026cffd7d68d7865dd462162e42f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04702",
    "kind": "arxiv",
    "version": 2
  }
}