Pith Number

pith:LLOSJF3D

pith:2012:LLOSJF3DKG2SXZBOSCXYDYIZD3

not attested not anchored not stored refs pending

Second Order Ergodic Theorem for Self-Similar Tiling Systems

Boris Solomyak, Konstantin Medynets

arxiv:1209.4073 v3 · 2012-09-18 · 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{LLOSJF3DKG2SXZBOSCXYDYIZD3}

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	2026-05-18T03:30:41.835176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5add24976351b52be42e90af81e1191ec1b69ef70f9bb8d3da5fc23b0ea74fd7

Aliases

arxiv: 1209.4073 · arxiv_version: 1209.4073v3 · doi: 10.48550/arxiv.1209.4073 · pith_short_12: LLOSJF3DKG2S · pith_short_16: LLOSJF3DKG2SXZBO · pith_short_8: LLOSJF3D

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/LLOSJF3DKG2SXZBOSCXYDYIZD3 \
  | 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: 5add24976351b52be42e90af81e1191ec1b69ef70f9bb8d3da5fc23b0ea74fd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "099f75720f888911afc2a214022fe4f493234114ed844b9b3f6521e669f1e081",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-09-18T19:51:10Z",
    "title_canon_sha256": "158e5fcb9fa686ab6c1a34b8f212473a6e40c9ed3a6a87a88fb9e15ef5fda241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4073",
    "kind": "arxiv",
    "version": 3
  }
}