Pith Number

pith:JKM7WFRU

pith:2019:JKM7WFRU4VETLRWOICRH6R53KN

not attested not anchored not stored refs pending

Individual ergodic theorems for infinite measure

Dogan Comez, Semyon Litvinov, Vladimir Chilin

arxiv:1907.04678 v1 · 2019-07-09 · 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{JKM7WFRU4VETLRWOICRH6R53KN}

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	2026-05-17T23:40:57.129076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a99fb1634e54935c6ce40a27f47bb5343d231b3a2d270a2ab10cc09e74cb83b

Aliases

arxiv: 1907.04678 · arxiv_version: 1907.04678v1 · doi: 10.48550/arxiv.1907.04678 · pith_short_12: JKM7WFRU4VET · pith_short_16: JKM7WFRU4VETLRWO · pith_short_8: JKM7WFRU

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/JKM7WFRU4VETLRWOICRH6R53KN \
  | 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: 4a99fb1634e54935c6ce40a27f47bb5343d231b3a2d270a2ab10cc09e74cb83b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "416eb10d438d395a63bbba90735688e60f39c56cdabc0e8dee2a6283dd61209a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-07-09T16:14:03Z",
    "title_canon_sha256": "03bfdec9902c7e3725e49309a78dc3e485ff0e33d71e972fa4b81137afc83fd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04678",
    "kind": "arxiv",
    "version": 1
  }
}