Pith Number

pith:LIWGNIJH

pith:2012:LIWGNIJHUX7O6RQ3OBOXKN2VWN

not attested not anchored not stored refs pending

Perturbation of Sparse Ergodic Averages

Andrew Parrish

arxiv:1211.2010 v1 · 2012-11-08 · math.DS · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIWGNIJHUX7O6RQ3OBOXKN2VWN}

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	2026-05-18T03:41:11.956237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a2c66a127a5feef461b705d753755b354183693af0e7735c78022fa61c87ba0

Aliases

arxiv: 1211.2010 · arxiv_version: 1211.2010v1 · doi: 10.48550/arxiv.1211.2010 · pith_short_12: LIWGNIJHUX7O · pith_short_16: LIWGNIJHUX7O6RQ3 · pith_short_8: LIWGNIJH

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/LIWGNIJHUX7O6RQ3OBOXKN2VWN \
  | 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: 5a2c66a127a5feef461b705d753755b354183693af0e7735c78022fa61c87ba0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "361f64a116e1697bed4da1e2b61143a2e7660407cc06e71a2e05fa5dfe455456",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-08T22:58:55Z",
    "title_canon_sha256": "73998b4f7e5806e90a7f15ff5fd50cebb928a5186c0e7273b11f80100e18f124"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2010",
    "kind": "arxiv",
    "version": 1
  }
}