pith. sign in
Pith Number

pith:3KQQEBCM

pith:2016:3KQQEBCMGALXL44P3V3WJPKMMK
not attested not anchored not stored refs pending

Saturn rings: fractal structure and random field model

Anatoliy Malyarenko, Martin Ostoja-Starzewski

arxiv:1612.05499 v1 · 2016-12-16 · physics.class-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3KQQEBCMGALXL44P3V3WJPKMMK}

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 2026-05-18T00:16:56.665955Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

daa102044c301775f38fdd7764bd4c629576d2079d29ea163d6210b084b88db0

Aliases

arxiv: 1612.05499 · arxiv_version: 1612.05499v1 · doi: 10.48550/arxiv.1612.05499 · pith_short_12: 3KQQEBCMGALX · pith_short_16: 3KQQEBCMGALXL44P · pith_short_8: 3KQQEBCM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3KQQEBCMGALXL44P3V3WJPKMMK \
  | 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: daa102044c301775f38fdd7764bd4c629576d2079d29ea163d6210b084b88db0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c16e4724366fcf5c8d44ebfd1c1a9f4a6a5c1293a816c25816a1a9bf3d35aa8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2016-12-16T15:06:27Z",
    "title_canon_sha256": "66d16e06160b886f31c6b8b40c3b900c0cbee24bfd339f7ed5c49e7a44caf78e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05499",
    "kind": "arxiv",
    "version": 1
  }
}