Pith Number

pith:L4UJP2G3

pith:2016:L4UJP2G3PUHUMO6A3SGDOU6GFH

not attested not anchored not stored refs pending

Oscillatory Integrals and Fractal Dimension

Domagoj Vlah, Jean-Philippe Rolin, Vesna Zupanovic

arxiv:1609.00976 v2 · 2016-09-04 · 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{L4UJP2G3PUHUMO6A3SGDOU6GFH}

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	2026-05-18T01:04:08.697765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f2897e8db7d0f463bc0dc8c3753c629cce0ba80fd5b1290a4905cca5fab69e2

Aliases

arxiv: 1609.00976 · arxiv_version: 1609.00976v2 · doi: 10.48550/arxiv.1609.00976 · pith_short_12: L4UJP2G3PUHU · pith_short_16: L4UJP2G3PUHUMO6A · pith_short_8: L4UJP2G3

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/L4UJP2G3PUHUMO6A3SGDOU6GFH \
  | 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: 5f2897e8db7d0f463bc0dc8c3753c629cce0ba80fd5b1290a4905cca5fab69e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a45ea54c9309e7cbdd967e9421a4e0d762e298edd014542c19d7ff8ef83cfd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-04T19:11:55Z",
    "title_canon_sha256": "8ef6d6af2f5e8f40940bb17b52a54a8b6a2e7b93bd36a7a228e19ce381503fc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00976",
    "kind": "arxiv",
    "version": 2
  }
}