Pith Number

pith:DISBYCC2

pith:2008:DISBYCC2V2WLJFMBA66O6AWH7A

not attested not anchored not stored refs pending

An L^1 Ergodic Theorem for Sparse Random Subsequences

Patrick LaVictoire

arxiv:0812.3175 v1 · 2008-12-16 · 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{DISBYCC2V2WLJFMBA66O6AWH7A}

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	2026-05-18T04:14:46.330819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a241c085aaeacb4958107bcef02c7f80fd6d81ed4870dbb306529a88bb5932d

Aliases

arxiv: 0812.3175 · arxiv_version: 0812.3175v1 · doi: 10.48550/arxiv.0812.3175 · pith_short_12: DISBYCC2V2WL · pith_short_16: DISBYCC2V2WLJFMB · pith_short_8: DISBYCC2

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/DISBYCC2V2WLJFMBA66O6AWH7A \
  | 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: 1a241c085aaeacb4958107bcef02c7f80fd6d81ed4870dbb306529a88bb5932d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f36a4d1cddffe216782983369fcab386e2e342d6ea207828c7ce97ba569b377b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-12-16T23:00:40Z",
    "title_canon_sha256": "1438a1ac1e12bd3de60304bc3f8ffd1fef66d5d73644270fc2b92acf58506982"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3175",
    "kind": "arxiv",
    "version": 1
  }
}