Pith Number

pith:MKLMMD6T

pith:2012:MKLMMD6T2VHUZSHYST4YUZIRUH

not attested not anchored not stored refs pending

Wavy spirals and their fractal connection with chirps

Darko Zubrinic, Domagoj Vlah, Luka Korkut, Vesna Zupanovic

arxiv:1210.6611 v3 · 2012-10-24 · 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{MKLMMD6T2VHUZSHYST4YUZIRUH}

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	2026-05-18T02:53:41.774462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6296c60fd3d54f4cc8f894f98a6511a1fe457076149a5bc9ae9ea6ed46c46431

Aliases

arxiv: 1210.6611 · arxiv_version: 1210.6611v3 · doi: 10.48550/arxiv.1210.6611 · pith_short_12: MKLMMD6T2VHU · pith_short_16: MKLMMD6T2VHUZSHY · pith_short_8: MKLMMD6T

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/MKLMMD6T2VHUZSHYST4YUZIRUH \
  | 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: 6296c60fd3d54f4cc8f894f98a6511a1fe457076149a5bc9ae9ea6ed46c46431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68c861be3e7f367d4077dceb37d44bc800d081ef80d84c4860c308f38fe43a9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-10-24T17:35:42Z",
    "title_canon_sha256": "45288599f59e3467980f6c709f2821fefd1ebdbe0e68e703b58545c6787db246"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6611",
    "kind": "arxiv",
    "version": 3
  }
}