Pith Number

pith:FDUYPLKJ

pith:2012:FDUYPLKJOBWNZN2QTADFQE4OFJ

not attested not anchored not stored refs pending

On the self-similarity problem for Gaussian-Kronecker flows

Joanna Kulaga, Krzysztof Fraczek, Mariusz Lemanczyk

arxiv:1201.5733 v2 · 2012-01-27 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FDUYPLKJOBWNZN2QTADFQE4OFJ}

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	2026-05-18T03:55:13.964925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28e987ad49706cdcb750980658138e2a61b56d8baf35d62a8ee7a04a5da7ee62

Aliases

arxiv: 1201.5733 · arxiv_version: 1201.5733v2 · doi: 10.48550/arxiv.1201.5733 · pith_short_12: FDUYPLKJOBWN · pith_short_16: FDUYPLKJOBWNZN2Q · pith_short_8: FDUYPLKJ

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/FDUYPLKJOBWNZN2QTADFQE4OFJ \
  | 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: 28e987ad49706cdcb750980658138e2a61b56d8baf35d62a8ee7a04a5da7ee62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03ad18980d54909e9ef99d493b104f273bea70c2730323fda93aa3e272a30249",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-01-27T09:53:21Z",
    "title_canon_sha256": "a54532f80b529e88688a2c433fae1fd80b17c2d37c2492bef91ddfc3c7a1ff26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5733",
    "kind": "arxiv",
    "version": 2
  }
}