Pith Number

pith:PPKN5S4R

pith:2014:PPKN5S4RPHDYVZG3OVTLP676EW

not attested not anchored not stored refs pending

Random walks in the group of Euclidean isometries and self-similar measures

Elon Lindenstrauss, P\'eter P. Varj\'u

arxiv:1405.4426 v2 · 2014-05-17 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPKN5S4RPHDYVZG3OVTLP676EW}

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	2026-05-18T01:12:50.164271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bd4decb9179c78ae4db7566b7fbfe2585582a1e621d0af3cd9dbbf74cd41a02

Aliases

arxiv: 1405.4426 · arxiv_version: 1405.4426v2 · doi: 10.48550/arxiv.1405.4426 · pith_short_12: PPKN5S4RPHDY · pith_short_16: PPKN5S4RPHDYVZG3 · pith_short_8: PPKN5S4R

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/PPKN5S4RPHDYVZG3OVTLP676EW \
  | 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: 7bd4decb9179c78ae4db7566b7fbfe2585582a1e621d0af3cd9dbbf74cd41a02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7f2a8a84f77b6e4fb1f2c7ed647d96aa6bcf1d9288d29830dbd6a644ec631e0",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-17T19:03:27Z",
    "title_canon_sha256": "94431c41b1911560d58e0bc6ef7b3ec1ab6d1610b0733c1f76823acc4cd79782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4426",
    "kind": "arxiv",
    "version": 2
  }
}