Pith Number

pith:3F6ZPCQK

pith:2016:3F6ZPCQKCQUME5KIXI2QKRVF3Q

not attested not anchored not stored refs pending

Measures with predetermined regularity and inhomogeneous self-similar sets

Antti K\"aenm\"aki, Juha Lehrb\"ack

arxiv:1609.03325 v2 · 2016-09-12 · 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{3F6ZPCQKCQUME5KIXI2QKRVF3Q}

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	2026-05-18T00:15:38.073438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d97d978a0a1428c27548ba350546a5dc26596c4991335120304880ef3d0618a9

Aliases

arxiv: 1609.03325 · arxiv_version: 1609.03325v2 · doi: 10.48550/arxiv.1609.03325 · pith_short_12: 3F6ZPCQKCQUM · pith_short_16: 3F6ZPCQKCQUME5KI · pith_short_8: 3F6ZPCQK

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/3F6ZPCQKCQUME5KIXI2QKRVF3Q \
  | 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: d97d978a0a1428c27548ba350546a5dc26596c4991335120304880ef3d0618a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49d1b00e475dae7767b29a00b84ede476e1705ff12bb10f18ef4cad7ff6b0ffa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-12T09:36:40Z",
    "title_canon_sha256": "10a4b53108185c1de9d0ee3955ae4f95f22c4dd88aa126eedc0ed15980cd1388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03325",
    "kind": "arxiv",
    "version": 2
  }
}