Pith Number

pith:VVUJJWA5

pith:2014:VVUJJWA5PO5VN67ANBOYMODHZO

not attested not anchored not stored refs pending

On invariant measures for $\mathscr{B}$-free systems

Benjamin Weiss, Joanna Ku{\l}aga-Przymus, Mariusz Lema\'nczyk

arxiv:1406.3745 v1 · 2014-06-14 · 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{VVUJJWA5PO5VN67ANBOYMODHZO}

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	2026-05-18T01:53:09.302326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad6894d81d7bbb56fbe0685d863867cbbe75a4c1359c8e1f45bc101e2be8dfcd

Aliases

arxiv: 1406.3745 · arxiv_version: 1406.3745v1 · doi: 10.48550/arxiv.1406.3745 · pith_short_12: VVUJJWA5PO5V · pith_short_16: VVUJJWA5PO5VN67A · pith_short_8: VVUJJWA5

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/VVUJJWA5PO5VN67ANBOYMODHZO \
  | 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: ad6894d81d7bbb56fbe0685d863867cbbe75a4c1359c8e1f45bc101e2be8dfcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8268d218ed0adeb01951b207392cd0aae96616aaa341b9aaaf804aecf917f26",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-06-14T15:44:13Z",
    "title_canon_sha256": "eea201b654ed7cf493b3abf24c5752496f3ed1e18a11d0176b306baaf5f21c72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3745",
    "kind": "arxiv",
    "version": 1
  }
}