Pith Number

pith:INYXSECJ

pith:2016:INYXSECJAWWF5KDS7B5GKC5QEM

not attested not anchored not stored refs pending

Pointwise ergodic theorems in symmetric spaces of measurable functions

Dogan Comez, Semyon Litvinov, Vladimir Chilin

arxiv:1612.05802 v1 · 2016-12-17 · 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{INYXSECJAWWF5KDS7B5GKC5QEM}

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	2026-05-18T00:53:45.859353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

437179104905ac5ea872f87a650bb023138c704364bab2c6d5bb5be7550705ce

Aliases

arxiv: 1612.05802 · arxiv_version: 1612.05802v1 · doi: 10.48550/arxiv.1612.05802 · pith_short_12: INYXSECJAWWF · pith_short_16: INYXSECJAWWF5KDS · pith_short_8: INYXSECJ

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/INYXSECJAWWF5KDS7B5GKC5QEM \
  | 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: 437179104905ac5ea872f87a650bb023138c704364bab2c6d5bb5be7550705ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb1aa43d47518fa27a53b9e0cf9e00415ce4b9df03b64205465f14b4f5447dd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-17T18:36:40Z",
    "title_canon_sha256": "695373534ce7909f3025a5a5b27a8c0d4102bd2c3ba398b7a47abe36249abd12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05802",
    "kind": "arxiv",
    "version": 1
  }
}