Pith Number

pith:NV3I5J4C

pith:2017:NV3I5J4CPVX5QZXVR5FFLXWHHL

not attested not anchored not stored refs pending

A comparison of Euclidean and Heisenberg Hausdorff measures

Laura Venieri, Pertti Mattila

arxiv:1705.04066 v1 · 2017-05-11 · 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{NV3I5J4CPVX5QZXVR5FFLXWHHL}

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	2026-05-18T00:44:41.495306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d768ea7827d6fd866f58f4a55dec73af1e5e4d4c658b84c2155488438e8ce8e

Aliases

arxiv: 1705.04066 · arxiv_version: 1705.04066v1 · doi: 10.48550/arxiv.1705.04066 · pith_short_12: NV3I5J4CPVX5 · pith_short_16: NV3I5J4CPVX5QZXV · pith_short_8: NV3I5J4C

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/NV3I5J4CPVX5QZXVR5FFLXWHHL \
  | 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: 6d768ea7827d6fd866f58f4a55dec73af1e5e4d4c658b84c2155488438e8ce8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dccb29372fe87c9764d7fa502270d32f23e837251b8ba286f7ffbeb073ec6179",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-11T08:26:48Z",
    "title_canon_sha256": "24014e2dedcb316aded33af384953e9dd7ab82deb9713c1374bc61de8c3f9d2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04066",
    "kind": "arxiv",
    "version": 1
  }
}