Pith Number

pith:3U27V4BJ

pith:2015:3U27V4BJSVUZEIXHGT2DOGN63O

not attested not anchored not stored refs pending

Subadditive and Multiplicative Ergodic Theorems

Anders Karlsson, S\'ebastien Gou\"ezel

arxiv:1509.07733 v1 · 2015-09-25 · 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{3U27V4BJSVUZEIXHGT2DOGN63O}

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	2026-05-18T01:32:02.062036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd35faf02995699222e734f43719bedbbdd6009e361144550895917ccb291442

Aliases

arxiv: 1509.07733 · arxiv_version: 1509.07733v1 · doi: 10.48550/arxiv.1509.07733 · pith_short_12: 3U27V4BJSVUZ · pith_short_16: 3U27V4BJSVUZEIXH · pith_short_8: 3U27V4BJ

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/3U27V4BJSVUZEIXHGT2DOGN63O \
  | 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: dd35faf02995699222e734f43719bedbbdd6009e361144550895917ccb291442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ceb47603c264d4820754785dbe8b1ef7988b9b1cb8ee0caf4b915269a5d9654",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-25T14:13:28Z",
    "title_canon_sha256": "b2beafd8b63ef3da9cde39688ece19bd84f54af4244e53bafd6bb1984b8dbcbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07733",
    "kind": "arxiv",
    "version": 1
  }
}