Pith Number

pith:WXO37TNW

pith:2019:WXO37TNWJCT2PJFC2PNFZAZUDP

not attested not anchored not stored refs pending

M{\"o}bius orthogonality in density for zero entropy dynamical systems

Alexander Gomilko, Mariusz Lema\'nczyk, Thierry de la Rue (LMRS)

arxiv:1905.06563 v1 · 2019-05-16 · 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{WXO37TNWJCT2PJFC2PNFZAZUDP}

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	2026-05-17T23:46:01.891214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5ddbfcdb648a7a7a4a2d3da5c83341bf8a8d402565e7e1ce139ab5f7d1d79d4

Aliases

arxiv: 1905.06563 · arxiv_version: 1905.06563v1 · doi: 10.48550/arxiv.1905.06563 · pith_short_12: WXO37TNWJCT2 · pith_short_16: WXO37TNWJCT2PJFC · pith_short_8: WXO37TNW

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/WXO37TNWJCT2PJFC2PNFZAZUDP \
  | 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: b5ddbfcdb648a7a7a4a2d3da5c83341bf8a8d402565e7e1ce139ab5f7d1d79d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9330c6d8b3d2ca83d330f6ef3d660f099a6e4114e3cdc7af6a1ff6da2eeacbb3",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-05-16T07:14:39Z",
    "title_canon_sha256": "05aabdaa0956ba9b46b69a8e507710c5d7914589ba0954882373b20594b9d5b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06563",
    "kind": "arxiv",
    "version": 1
  }
}