Pith Number

pith:WASYD352

pith:2015:WASYD352ANCNOJ4IDMDFJBQZQ7

not attested not anchored not stored refs pending

Linear repetitivity and subadditive ergodic theorems for cut and project sets

Alan Haynes, Henna Koivusalo, James Walton

arxiv:1503.04091 v4 · 2015-03-13 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WASYD352ANCNOJ4IDMDFJBQZQ7}

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	2026-05-18T00:50:48.123949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b02581efba0344d727881b0654861987dc29fe9755d9f11bc33826b4a9aca33d

Aliases

arxiv: 1503.04091 · arxiv_version: 1503.04091v4 · doi: 10.48550/arxiv.1503.04091 · pith_short_12: WASYD352ANCN · pith_short_16: WASYD352ANCNOJ4I · pith_short_8: WASYD352

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/WASYD352ANCNOJ4IDMDFJBQZQ7 \
  | 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: b02581efba0344d727881b0654861987dc29fe9755d9f11bc33826b4a9aca33d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eab7e4e980123cbd9bb34a2daffcd20b469584950c8a17d7ae63b3bb75d4fa7b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-03-13T14:54:15Z",
    "title_canon_sha256": "3e760e163dfa4c928c4e7d17089ba65316704eda2137367161ffd0749056fd31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04091",
    "kind": "arxiv",
    "version": 4
  }
}