Pith Number

pith:BN7KAGJN

pith:2004:BN7KAGJNA35YXLRKP3C7K4YPU7

not attested not anchored not stored refs pending

Rates of Divergence of non-Conventional Ergodic Averages

Anthony Quas, Mate Wierdl

arxiv:math/0409001 v1 · 2004-08-31 · 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{BN7KAGJNA35YXLRKP3C7K4YPU7}

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	2026-05-18T01:05:26.036235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b7ea0192d06fb8bae2a7ec5f5730fa7e090c6ca6edd22fc04823521687f7da8

Aliases

arxiv: math/0409001 · arxiv_version: math/0409001v1 · doi: 10.48550/arxiv.math/0409001 · pith_short_12: BN7KAGJNA35Y · pith_short_16: BN7KAGJNA35YXLRK · pith_short_8: BN7KAGJN

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/BN7KAGJNA35YXLRKP3C7K4YPU7 \
  | 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: 0b7ea0192d06fb8bae2a7ec5f5730fa7e090c6ca6edd22fc04823521687f7da8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3181cae29ea1be0b209659f8009176cb24bffeb9df524435079c86a2a44f3fb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2004-08-31T20:17:59Z",
    "title_canon_sha256": "03e8731f0cf86a18b4deea5eaf0d09c50a02ebb0aab8e91b5feef0803a9332d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409001",
    "kind": "arxiv",
    "version": 1
  }
}