Pith Number

pith:JU4HZMYH

pith:2026:JU4HZMYHMUJBQRXALAGH5WLBTU

not attested not anchored not stored refs pending

Smooth projections of self-similar measures

Amir Algom, Federico Rodriguez Hertz, Zhiren Wang

arxiv:2607.15635 v1 · 2026-07-17 · math.DS · 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{JU4HZMYHMUJBQRXALAGH5WLBTU}

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	2026-07-20T01:19:01.447398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d387cb30765121846e0580c7ed9619d08a8018c57199c31e3d4d42a2267898e

Aliases

arxiv: 2607.15635 · arxiv_version: 2607.15635v1 · doi: 10.48550/arxiv.2607.15635 · pith_short_12: JU4HZMYHMUJB · pith_short_16: JU4HZMYHMUJBQRXA · pith_short_8: JU4HZMYH

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/JU4HZMYHMUJBQRXALAGH5WLBTU \
  | 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: 4d387cb30765121846e0580c7ed9619d08a8018c57199c31e3d4d42a2267898e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90208d7e15593917a17ec014bdeb19b0d049700f05f5cb0f0e3eb10b8d219f01",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-17T05:24:24Z",
    "title_canon_sha256": "ca187ad4f4e44266887629270ff2898b9a09a175724628a3faf01cc970ba8174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15635",
    "kind": "arxiv",
    "version": 1
  }
}